Integral of Sin^2x
Integral of Sin^2x

CBSE Class 12-science Answered

integration 2x dx /( 2 + x – x2)

Asked by haroonrashidgkp | 07 Nov, 2018, 09:17: PM

begin mathsize 16px style straight I equals integral fraction numerator 2 straight x over denominator 2 plus straight x minus straight x squared end fraction dx straight I equals integral fraction numerator negative 2 straight x over denominator straight x squared minus straight x minus 2 end fraction dx straight I equals integral fraction numerator negative 2 xdx over denominator left parenthesis straight x minus 2 right parenthesis left parenthesis straight x plus 1 right parenthesis end fraction Consider comma fraction numerator negative 2 straight x over denominator left parenthesis straight x minus 2 right parenthesis left parenthesis straight x plus 1 right parenthesis end fraction equals fraction numerator straight A over denominator straight x minus 2 end fraction plus fraction numerator straight B over denominator straight x plus 1 end fraction Solving space this space we space get space straight A equals fraction numerator negative 4 over denominator 3 end fraction space and space straight B equals fraction numerator negative 2 over denominator 3 end fraction Hence comma straight I equals integral open parentheses fraction numerator fraction numerator negative 4 over denominator 3 end fraction over denominator straight x minus 2 end fraction plus fraction numerator fraction numerator negative 2 over denominator 3 end fraction over denominator straight x plus 1 end fraction close parentheses dx Integrate space it space further. end style

Answered by Sneha shidid | 08 Nov, 2018, 01:33: PM

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Two dealers P and Q sell three items viz . , notebooks , pencils and erasers . In the month of April , the dealer P sells 250 notebooks , 400 pencils and 300 erasers , whereas the dealer Q sells 350 notebooks , 500 pencils and 470 erasers . In the month of may the dealer P sells 380 notebooks , 440 pencils and 360 erasers , whereas the dealer Q sells 450 notebooks , 520 pencils and 420 erasers.Using matrices represent The combined sale of two months for each dealer in each item ? ( i ) ( ii ) The change in sales from April to may for each dealer in each item ?question image

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