How To Integrate Using U-Substitution
How To Integrate Using U-Substitution

## INDEFINITE INTEGRALS – I

Methods of Integration

We have already discussed that integrals of some functions are obtained from their derivatives. It was based on inspection which means that on search of a function F whose derivative is ‘f’. Method of inspection is not suitable for many of the functions. So we were forced to find additional methods to reduce a function to its standard form. The methods which we follow are
1) Integration using Partial Fractions
2) Integration by substitution
3) Integration by Parts.

## Some Standard Integrals

1) ∫xn dx = xn+1 + C , n≠-1
____

n +1
2) ∫dx = x + C
3) ∫cosx dx = sinx + C
4) ∫sinx dx = -cosx + C
5) ∫sec2x dx = tanx + C
6) ∫cosec2x dx = -cotx + C
7) ∫secxtanx dx = secx + C
8) ∫cosecxcotx dx = -cosecx + C
9) ∫ex dx = ex + C
10) ∫1/x dx = log|x| + C
11) ∫dx/√(1-x2) = sin-1x + C
12) ∫dx/√(1-x2) = -cos-1x + C
13) ∫dx/(1+x2) = tan-1x + C
14) ∫dx/(1+x2) = -cot-1x + C
15) ∫dx/(x√x2-1) = sec-1x + C

## Integration using Partial Fractions

We have already learned that a rational function is defined as the ratio of two polynomials in the form P(x)/Q(x), where P(x) and Q(x) are polynomials in ‘x’ and Q(x)≠0. If the degree of P(x) is less than the degree of Q(x), then it is called proper otherwise improper.
The improper rational functions can be reduced to the proper rational functions by long division process. It can be expressed in the form
where T(x) is a polynomial in ‘x’ and P1(x)/Q(x) is a proper rational function. Here the rational functions which we consider for integration purpose will be those whose denominators can be factorized into linear and quadratic factors.
To evaluate ∫P(x) dx, where P(x) is a proper rational function
____ ____

Q(x) Q(x)
we can express the integrand as a sum of simpler rational functions which is called the method of partial fractions.
After decomposing into simpler rational functions we can integrate it easily.

## Different Forms of Partial Fractions

The following table indicates the types of simpler partial fractions that are to be associated with various kinds of rational functions.
Before decomposing the rational functions we have to determine which form of partial fraction is to be applied.
Here A, B and C are constants (real numbers) to be determined by suitable method.

Example:
2x = A(x+1) + B(x+2) [Taking L.C.M]
For finding A and B we have to assign values to ‘x’.
When x=-1, we get B=-2
When x=-2, we get A=4
(1) becomes
= 4 log(x+2) – 2 log(x+1) + C

## Integrals of some special function

When we come across the integrals like where the
denominator cannot be factorized as linear factors; we have to go for some other method. For solving such integrals we have to learn six formulas from which we get the answer easily.

The formulas are given below.
The remaining two methods of integration will be discussed in the article named “Indefinite Integrals – II”.

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• • How to explain a billing query?
• • How to describe your gym/ training classes?
• • How to describe the project you are handling or have handled?
• • What is direct and indirect speech?
• • Punctuate the sentence
• • How to explain product features to a customer?
• • How to attend a customer call as support executive?
• • How to build a rapport with your patient?
• • How to explain product features on the phone?
• • How to deal with an adolescent in school?
• • How to remind parents to inculcate good habits in their children?
• • 5 Tips to practice vocabulary
• • How to be a good wedding host?
• • How to diplomatically report a problematic child behaviour to Principal and parents ?
• • How to explain to a customer some confusion in the bill?
• • How to upsell a product over the phone?
• • How to convince a customer to try out a product?
• • Common Phrases for business letters
• • 5 Supplier negotiation tips
• • How to describe your role model?
• • How to ask for help from other school teachers?
• • How to politely refuse an advance or loan request from an employee?
• ► 2013 (198)
• ► December (4)
• ► November (23)
• • Use of could, should, would?
• • When to use the articles – a, an, the?
• • Common ‘Singular-Plural’ Mistakes – Part I
• • How to ask for directions and find your way in a foreign country?
• • Talking about life events – Summer vacations
• • How to express your happiness while receiving a certificate?
• • How to describe school you attended in the past?
• • Top 10 tips for an effective meeting
• • 10 common mistakes in English
• • How to explain charges to a guest?
• • How to handle a guest with young children and elderly people?
• • How to talk about a teacher you like very much?
• • Tips to make a first good impression on foreign coworkers
• • How to fill up an immigration form?
• • How to place an order in a fast food restaurant?
• • How to navigate and buy essentials in a supermarket in a foreign country?
• • How to politely accept or decline an appointment request?
• • How to improve your grammar and comprehension for Entrance exams?
• • How to improve your vocabulary for entrance exams?
• • How to take orders in a restaurant?
• • How to converse at the front desk?
• • How to explain the project plan to a group of senior management members?
• • How to grab an internship opportunity?
• ► October (33)
• • Etiquettes for an international call center
• • How to deal with a nasty employee?
• • How to conduct group discussions for interviews?
• • How to conduct an exit interview?
• • How to communicate with your subordinates to get the maximum output?
• • How to build relationship with a customer for enhancing sales?
• • Etiquettes for effective telephone calls
• • How to show around during sightseeing?
• • How to upsell in a restaurant and a bar?
• • How to write a warning letter?
• • Salary negotiation essentials for HR personnel
• • Tips for communication for hotel Industry
• • How to resolve conflict with employees?
• • How to take care of specially abled guests?
• • How to deal with layoffs in your company?
• • How to write an effective financial performance summary?
• • How to welcome and see off your guests?
• • How to talk about local customs and folklore?
• • How to raise a query to the technical team in fluent English?
• • How to make a browsing customer comfortable and convert?
• • How to conduct an HR interview effectively?
• • How to write a termination letter?
• • How to politely respond to unreasonable demands of the customer?
• • How to explain your job profile, technologies you have worked and skill set?
• • How to communicate effectively with foreign or remote clients?
• • Dos and Don’ts of effective sales communication
• • How to speak professionally? – Conversation examples
• • How to create a job description?
• • How to explain issues in a project functionalities?
• • How to request for change in delivery schedule?
• • How to write a loan application for your own business?
• • How to explain local rules and precautions?
• ► September (18)
• • How to respond to salary queries of employees?
• • How to take reservations by phone?
• • How to effectively make a presentation?
• • How to explain a new technology to a non-techie person?
• • How to explain your strengths, weakness, attitude, and skill sets?
• • How to deal with complaints in the Hotel Industry?
• • How to write a reminder for a delayed payment to a customer?
• • How to write an offer letter?
• • How to take care of inbound calls?
• • How to convert a window-shopper to a real customer?
• • How to motivate a disinterested customer to buy?
• • How to upsell and cross sell?
• • How to make requests for special meals on a flight?
• • The art of handling unhappy customers on a call
• • 5 Negotiation tips and tricks
• • 5 Email marketing etiquette
• • 10 Mistakes to avoid as a retail sales representative
• • How to make an effective sales call?
• ► August (23)
• • How to ask for a leave from your child’s teacher?
• • How to describe your medical symptoms to the doctor?
• • 5 useful tips to prepare for a call center job
• • How to ask for directions to a coffee shop?
• • How to ask an air hostess about cabin luggage compartment?
• • How to start a cold call?
• • How to make a sales pitch?
• • How to negotiate a higher starting salary?
• • How to deposit or withdraw money in a bank?
• • How to give medicine instructions to a patient?
• • Why is correct ‘Speed’ important in Spoken English?
• • How to give details of a disease to a patient?
• • How to describe your vehicle?
• • How to open a bank account?
• • How to improve your English for a call center job?
• • 5 Benefits of learning English for a Tour Guide
• • How did you decide on a subject for higher studies?
• • How to start a conversation on phone?
• • How to ask your boss for a promotion in fluent English?
• • How to buy a ticket for a movie?
• • How to buy a shirt with the help of a salesperson?
• • How to buy a dress with the help of a salesperson?
• ► July (30)
• • How to Write a Formal Letter Regarding Leave?
• • How to Describe your Home?
• • How to Ask a Waiter for his Recommendations?
• • Why is Daily Practice Important to Learn a New Language?
• • How to Describe Your Family?
• • How to Describe your Phone and its Features?
• • How to Get the Speed of the Words Right while Speaking?
• • How to Talk About a Particular Problem you are Facing?
• • How to Complain to the School’s Principal About your Child’s Class?
• • How did you Choose the College you Studied In?
• • How to Talk at a Parent Teacher Meeting?
• • How to Describe an Attire?
• • How to Talk to Other Patients While Waiting at The Doctor’s Clinic?
• • How to Give Directions to Reach your Doctor’s Clinic?
• • How to Talk to a Teacher About the Issue of Bullying?
• • The Critical Role of Vocabulary to Learn Fluent English
• • How to Greet your Boss/ People in Office?
• • How to Describe an Experience?
• • Conversation with a Fellow English Learner
• • How to Describe a Television Show you Saw?
• • How to Ask for the Bill in a Restaurant?
• • How to Talk to Your Boss to Change Your Department?
• • How to Seek Appointment with your Doctor’s Receptionist?
• • How to Describe a Meal You Relished to Your Friend?
• ► June (13)
• • How to Give Directions to Your Friend to Reach a Restaurant?
• • How to Ask for Directions?
• • Why Online Tutoring is Easy and Beneficial?
• • Why English is Considered an International Language?
• • How to Write a Formal Email Regarding a Leave/ Off?
• • How to Tell Your Boss that You are Quitting?
• • How to Talk About Food you Like/ Dislike?
• • How to Talk of an Error in Your Bill to the Manager?
• • Why do We Need to Learn English?
• • How to Describe a Restaurant to Your Friend?
• • How to Stress on Words While Speaking English?
• • How to Describe Your Country?
• • How to Describe Your City?
• ► May (17)
• • Test your English Skills
• • Learning English through Music – Go the Lyrical Way!
• • How to Make English Learning a Fun Process?
• • How to Maintain Your Social Image?
• • How to Best Describe a Place?
• • How to Learn English Real Fast?
• • A Fun Way to Learn English
• • How Should I Improve My Vocabulary for IELTS?
• • Practice English Speaking While Waiting for an Interview
• • How to use Punctuation Correctly? Part – II
• • Tips for Improving Pronunciation II
• • The Sounds of Syllables
• • How to Improve Communication Skills?
• • How to Use Punctuation Correctly? Part – I
• • The Fun World of Idioms – III
• • Gear up! It’s Test Time
• • Conversation at the Airport Check-in
• ► April (35)
• • IELTS Preparation – Things to Know
• • How to Structure English Sentences?
• • A Guide on How to Use a Dictionary Effectively
• • The Fun World of Idioms – I
• • How to Carry a Conversation at a Party?
• • How to Overcome the Anxiety of Making Mistakes when Speaking English?
• • Dos and Don’ts of Public Speaking
• • Conversations while Ordering Food
• • Use the Power of Phrases to Improve Your Spoken English Fluency
• • Understanding the Tenses in English – II
• • Start small – The Key to Fluent English Speaking
• • Understanding the Tenses in English
• • How to Face an Interview with Confidence?
• • English Exercises for Beginners
• • How to Improve Your English Writing Skills – II
• • How to Improve Your English Writing Skills
• • Memory Techniques for Learning English – II
• • How to Avoid Common Grammar Mistakes – I?
• • Complete Guide to Comprehensive Reading-II
• • Want to Improve Your Listening Skills? Know the Eight Principles – Part II
• • How to Greet? Learn the Basics
• • A Guide to Comprehensive Reading
• • Want to Improve Your Listening Skills? Know the Eight Principles – Part I
• • First Timer’s Guide to Improve Spoken English
• • The Pillars of English Speaking
• • Who or Whom: Learn the Right Usage with Examples
• • Memory Techniques for Learning English
• • Tips for Making Small Talk and Breaking the Ice
• • A Beginner’s Guide to Learning English
• • Golden Rules for Improving Spoken English
• • The Tricky World of Homophones
• • English Grammar Made Easy
• • Homophones Decoded
• • How to Avoid Common Grammatical Mistakes
• ► January (2)
• ► 2012 (49)
• ► December (6)
• ► October (6)
• ► September (12)
• • How to write compelling emails in English?
• • How to Talk to Strangers?
• • How to Improve Pronunciation?
• • How to communicate as a telephone operator?
• • How to Communicate as a Receptionist?
• • How to Answer Phone Calls Smartly in English?
• • How to write an application for a loan?
• • How to Write a Cover Letter for a Job?
• • How to make a presentation in front of audience?
• • How to Express Effectively?
• • How to Communicate well in Hospitality Industry?
• • What are Some Etiquettes Used While Eating?
• ► August (25)
• • What are some phrases for conversation?
• • How to write an application for a leave?
• • How to Raise Concern in Parent Teacher Meeting As a Parent?
• • How to book an airline ticket with travel agent?
• • What are some important email etiquette
• • How to improve English Pronunciation and English Speaking?
• • How To Invite Somebody For a Birthday Party ?
• • How to Write a Resume for a Job?
• • How to learn English through listening?
• • How to improve your Spoken English Skills?
• • How to learn English Online?
• • What are words with similar meaning /opposite meaning to another word known as?
• • What are some common mistakes in preposition?
• • How to chat online with friends?
• • What are vowels and Consonants ?
• • What are some important table manners?
• • Do you know what is the study of speech sound known as?
• • How to impress the interviewer and answer effectively in an interview?
• • Learn Root Words
• • Do you know about the important parts of your body?
• • Do you know what are words with similar pronunciation but with different meaning/spelling known as?
• • What are some Do’s and Don’ts at the Interview?
• • How do you define a word that cannot be figured out by looking up in the dictionary?
• • How to participate in a Group Discussion
• • What are words that confuse you known as?
• ► 2011 (406)
• ► December (4)
• ► November (46)
• • TYPES OF MATRICES
• • SYMMETRIC AND SKEW SYMMETRIC MATRICES
• • Solution of system of linear equations using matrix method
• • PROPERTIES OF DETERMINANTS
• • MULTIPLICATION OF MATRICES
• • INTRODUCTION TO MATRICES
• • INVERTIBLE MATRICES
• • EQUALITY OF TWO MATRICES
• • DETERMINANTS
• • ADJOINT AND INVERSE OF A MATRIX
• • ADDITION AND SUBTRACTION OF MATRICES
• • Shortest Distance between two lines
• • Reducing Cartesian Form of a line to Vector Form and vice-versa
• • Modulus and the Conjugate of a Complex Number
• • Argand Plane and Polar Representation of a Complex Number
• • ALGEBRA OF COMPLEX NUMBERS
• • VOLUME OF A SOLID WITH KNOWN CROSS SECTION
• • TAYLOR SERIES
• • TANGENTS AND NORMALS
• • RIEMANN SUM AND TRAPEZOIDAL RULE
• • RATIO TEST
• • RATE OF CHANGE OF QUANTITIES
• • NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS USING EULER’S METHOD
• • Mean Value Theorem
• • MAXIMA AND MINIMA (2nd DERIVATIVE TEST)
• • MAXIMA AND MINIMA (1ST DERIVATIVE TEST)
• • LOCAL LINEAR APPROXIMATION
• • LIMITS
• • L’HOSPITAL’S RULE
• • INTRODUCTION TO INTEGRATION
• • INTERMEDIATE VALUE THEOREM
• • INSTANTANEOUS RATE OF CHANGE AS A LIMIT OF AVERAGE RATE OF CHANGE
• • INDEFINITE INTEGRALS – II
• • INDEFINITE INTEGRALS – I
• • INCREASING AND DECREASING FUNCTIONS
• • GRAPHICAL AND ANALYTICAL REPRESENTATION OF DERIVATIVE
• • FUNDAMENTAL THEOREM OF CALCULUS
• • DISTANCE TRAVELLED BY A PARTICLE ALONG A LINE
• • DIFFERENTIATION – II
• • DIFFERENTIATION
• • DIFFERENTIATION – I
• • Differentials, Errors and Approximations
• • DIFFERENTIAL EQUATIONS
• • DERIVATIVES OF POLAR AND VECTOR FUNCTION
• • DEFINITE INTEGRALS
• ► October (14)
• • Continuity
• • COMPARISON TEST
• • AVERAGE VALUE OF A FUNCTION
• • ASYMPTOTIC AND UNBOUNDED BEHAVIOUR
• • AREA OF BOUNDED REGIONS
• • ALTERNATE SERIES TEST
• • LAWS OF SINE, COSINE AND TANGENT
• • Operations on Sets
• • Complement of a Set
• • Ionic Equilibrium in Solutions
• • Homogeneous and Heterogeneous Equilibria
• • Factors Affecting Equilibria
• • Equilibria in Physical Processes
• • Equilibrium in Chemical Processes – Dynamic Equilibrium
• ► September (28)
• • Buffer Solutions
• • Use of Trigonometric Function to Model Periodic Phenomena
• • UNIT CIRCLE
• • TRIGONOMETRIC RATIOS
• • TRIGONOMETRIC RATIOS OF SOME SPECIFIC ANGLES
• • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES
• • TRIGONOMETRIC IDENTITIES
• • TRIGONOMETRIC FUNCTIONS OF SUM AND DIFFERENCE OF TWO ANGLES
• • TRIGONOMETRIC FUNCTIONS OF MULTIPLE AND SUBMULTIPLE ANGLES
• • SIGNS AND GRAPHS OF TRIGONOMETRIC FUNCTIONS
• • INVERSE TRIGONOMETRIC FUNCTIONS
• • APPLICATIONS OF TRIGONOMETRY
• • Angle between two planes
• • Vector and Cartesian Equations of a Line
• • Various forms of a Plane
• • Direction Cosines and Direction Ratios of a Line
• • METHODS OF FINDING SQUARE ROOT
• • SQUARE ROOT
• • CUBE ROOT (PRIME FACTORIZATION)
• • USE OF EXPONENTS
• • Laws of Exponents
• • PARABOLA
• • CONIC SECTIONS
• • HYPERBOLA
• • ELLIPSE
• • SYMMETRY
• • ROTATIONAL SYMMETRY
• • TYPES OF ANGLES
• ► August (97)
• • Potentiometer
• • Thermocouple
• • Parallel Plate Capacitor
• • Sources of Current
• • Resistivity and Conductivity
• • Resistance
• • Kirchhoff’s law
• • Emfs and Internal resistance
• • Safety measures in handling electrical circuits
• • Electricity
• • Magnetic field due to a solenoid
• • Magnetic field
• • Electromagnetic Induction
• • Electric motor
• • Electric Bell
• • Electric Potential
• • Earthing an electric appliance
• • Electric Dipole
• • Rules to determine the direction of a magnetic field
• • Electric Current
• • Equipartition of Energy
• • Degree of freedom
• • Kinetic Theory of Gases
• • Combination of Capacitor
• • Thermodynamics
• • Thermal conductivity
• • Stefan’s law
• • Volumetric Expansion
• • Thermal Expansion
• • Newton’s law of cooling
• • AC and DC current
• • Heat and Temperature
• • Linear Expansion
• • Gas Equation
• • Heat transfer
• • Charle’s law and Boyle’s law
• • Heat engines
• • Specific Heat
• • Enthalpy and Entropy
• • Thomson effect
• • Isothermal Process
• • Carnot engines
• • Isochoric processes
• • Thermoelectricity
• • Isobaric Process
• • Seebeck effect
• • Wind Energy
• • Solar Energy
• • Nuclear Energy
• • Geothermal Energy
• • Fossil Fuels
• • Peltier Effect
• • Voltage and Current
• • Young’s Double Slit Experiment
• • Dielectrics
• • Types of Diffraction
• • Total Internal Reflection
• • Faraday’s law of Electrolysis
• • Spherical Mirror
• • Electrolysis
• • Snell’s Law
• • Scattering
• • Refractive Index
• • Refraction
• • Reflection
• • Real and Virtual images
• • Polarization
• • Mirages
• • Interference of Light
• • Focal Length of Mirrors
• • Dispersion
• • Diffraction of Light
• • Diffraction Grating
• • Parallelism
• • MODIFIER
• • Degrees of Comparison
• • Clause
• • Nouns
• • Verbs
• • Subject Verb Agreement
• • Punctuation
• • Phrases
• • Pronouns
• • Run-on and Fragments
• • Gerunds
• • Infinitive
• • Pronoun Antecedent Agreement
• • Voice
• • Interjection
• • Conjunctions
• • Parts of Speech
• • Sentences
• • Tenses
• • Comma Splice
• ► July (106)
• • Non-Random Mating
• • Genetic Drift
• • Modes of Speciation
• • Fossils
• • Bottlenecks and Founder Effects
• • Causes of Mutations and Gene Flow
• • Artificial Selection
• • Recombination
• • Hardy-Weinberg Principle
• • Sex and Genetic Shuffling
• • Sexual Selection
• • Patterns of Evolution
• • Reproduction Isolation
• • Origin of Life
• • Speciation
• • Big Bang Theory
• • Dinosaurs
• • Natural Selection
• • Virus
• • Protist
• • Monera
• • Introduction of Microorganism
• • Fungi
• • Intracellular Components
• • Cell Membranes
• • Cell Difference
• • The Citric Acid Cycle
• • Photosynthesis and Cellular Respiration
• • Oxidative Phosphorylation and Electron Transport
• • Introduction to Cell Respiration
• • Glycolysis
• • What is Mitosis?
• • What is Meiosis?
• • Fermentation
• • Cell Reproduction
• • Mutualism
• • Solving Fractions
• • Microevolution
• • Fractions – An Introduction
• • Macroevolution
• • Evolution and Darwin
• • Evolution and Lamarck
• • Solving Decimals
• • Evolution and Heredity
• • What is Evolution?
• • Plasmids
• • Gene Cloning Application in Medicine
• • Introduction to Decimals
• • Human Genome Project
• • Polymerase Chain Reaction
• • Nucleosomes
• • Introduction to Lines and Angles
• • Structure and Synthesis of RNA
• • Overview of RNA
• • Solution of a Linear Equation
• • RNA
• • Introduction to Linear Equations
• • Introduction to Linear Equations
• • DNA and Technology
• • Graphical Method of Solution of a Pair of Linear Equations
• • DNA Biological Functions
• • History of DNA Research
• • Graph of a Linear Equation in Two variables
• • DNA Interactions with Proteins
• • Algebraic Methods of Solving a Pair of Linear Equations
• • Central Dogma of Biology
• • Algebraic Methods of Solving a Pair of Linear Equations
• • DNA Modifying Enzymes
• • DNA Genetic Recombination
• • General characteristics of DNA
• • Properties of DNA
• • What is DNA?
• • Algebraic Methods of Solving a Pair of Linear Equations
• • Solving Integers
• • Properties of Integers
• • DNA Translation
• • Genetic Code
• • Comparing and Ordering of Integers
• • Introduction to Exponents
• • Stages in Nitrogen Cycle
• • Introduction to cubes and cube roots
• • Slope (Gradient) of a line
• • Relation to the Environment
• • Section formulae
• • Point of intersection and concurrency of lines
• • Biological -Interactions
• • Distance form of a line
• • Distance between two points
• • Important Microbes in Ecosystem
• • Different forms of the equation of a straight line
• • Co-ordinate axes and co-ordinate planes
• • Area of a Triangle
• • Human Vs Natural Food Chains
• • Replication of DNA
• • Post transcriptional RNA Processing
• • DNA Transcription
• • Structure of Nucleic Acids – RNA
• • Structure of Nucleic Acids – DNA
• • Adaptations of the Organism
• • Factors Affecting Population Size
• • Evolution of Predation
• • Eutrophication
• • Energy Flows and Material Cycling
• • Energy Flow through the Ecosystem
• • Ecosystem Services and Biodiversity Crisis
• ► June (48)
• • Ecosystem Productivity
• • A Seral Community
• • Ecological Role
• • Ecological Pyramids
• • The Ecological Niche
• • Ecological Impact of Farming
• • Environmental impact of Pesticides
• • Environmental Impact of Fertilizers
• • Decomposers
• • Food Webs
• • Biosphere
• • Biological Magnification
• • What Is an Atom?
• • Laws of Chemical Combination
• • Solid Wastes
• • Global Warming
• • Environmental Issues
• • Water Pollution
• • Air Pollution
• • Deforestation
• • Food Chains and Food Webs
• • Phosphorous Cycle
• • Oxygen Cycle
• • The Nitrogen Cycle
• • The Water Cycle
• • The Carbon Cycle
• • Biogeochemistry
• • Biogeochemical Cycles
• • Biodiversity
• • Behavioral Ecology
• • ECOLOGY – An Introduction
• • Trigonometric Equations
• • Introduction To Algebra
• • Integers – An Introduction
• • Gaseous State And Gas Laws
• • Intermolecular Forces Vs Thermal Energy
• • How do you write Chemical Formulas?
• • Electroplating
• • Electrochemical cell
• • Electric circuit
• • Electric Charge
• • Coulomb’s law
• • Conductor and Insulator
• • Degree And Radian Measure
• • Algebraic Expressions
• • What Is a Molecule?
• • What Is Thermal Energy?
• ► May (63)
• • Study Finds That Online Education Beats the Classroom
• • Contraception Methods
• • Function and Mechanism in implantation
• • Implantation
• • Stages of Lactation
• • Lactation
• • Fertilization and Cleavage
• • Causes of Mutation
• • Kinds of Gene Mutation
• • What is a Gene Mutation and how do mutations occur?
• • Genes and Diseases
• • Human Genetic Variation
• • Chromosomal Aberrations
• • Location of a Gene
• • What is a Chromosome?
• • Gene and Gene Organisation
• • Functional structure of a Gene
• • Complications in Child birth
• • Stages in Child birth
• • Parturition
• • Risk factors and Complications in Pregnancy
• • Embryonic and Fetal Development
• • Diagnosis and Physiology of Pregnancy
• • Pregnancy
• • Mendalian Inheritance
• • Mendel’s Laws
• • Examination, Treatment and Prevention of Menopause
• • Menopause
• • Characteristics of Menstrual Cycle
• • Mendel’s trait and Probability of Inheritance
• • Phases of Menstrual Cycle
• • Menstrual Cycle
• • Hormonal controls and the functioning of the female reproductive system
• • The Human Ovaries
• • Position and Function of Cervix
• • Anatomy and Histology of Cervix
• • Function of Fallopian Tube
• • Hygiene and Signs of Vaginal disease
• • Anatomy and Functions of Vagina
• • Inheritance patterns through Generations
• • Sex Determination System
• • What are the layers found in Uterus?
• • Genetic Disorder
• • Anatomy and Function of Uterus
• • Autosomal Recessive Genetic Disorder
• • Autosomal dominant and X linked Genetic Disorder
• • Human Female Reproductive System
• • Human Male External Genital Organs
• • What are Genes?
• • Human Male Internal Genital Organs
• • Phases And Significance Of Meiosis
• • Meiosis and process involved in it
• • Mitosis and its Phases
• • Check Point In Cell Cycle
• • Cell Cycle And Its Stages
• • Reproductive System
• • Cell Division
• • Transport Across The Membrane
• • Anatomy Of The Cell
• • Cell and Cell Theory
• • Home
• • Cell Organelles and Their Functions
• • Cell Organelles and Their Functions
• ► 2006 (10)
• ► October (10)
• • Does the PDF icon render pictures and special characters?
• • I installed with my own language, but the Back-end is still in English
• • Is it useful to install the sample data?
• • What is the purpose of the collation selection in the installation screen?
• • Is it possible to change A Menu Item’s Type?
• • Support and Documentation
• • My MySQL database does not support UTF-8. Do I have a problem?
• • What happened to the locale setting?
• • Only one edit window! How do I create “Read more…”?
• ► October (10)
• ► 0000 (4)

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• How to Describe a Restaurant to Your Friend?
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