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Michael Sullivan, Kathleen Miranda

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Chapter 7, Problem 49

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Find each integral.$$\int \cot (2 x) \csc ^{4}(2 x) d x$$

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Official textbook answer

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01:10

Find each integral.

$$

\int \cot x \csc ^{2} x d x

$$

01:24

Find each integral.

$$

\int \cot ^{3} x \csc ^{2} x d x

$$

03:08

Evaluate the integral.

$$

\int \cot ^{2} x \csc ^{4} x d x

$$

01:13

Find each integral.

$$

\int \csc ^{2} x \cot ^{5} x d x

$$

Transcript

To integrate the integral of co tangent of two x times cause you can have two x rays to the fourth power dx. We first factor out eco second of two X. And so we have the integral of co tange enough to X. This times Cozy kind of two x rays to the third power Times go 2nd of two x. and then DX. And then from here you want to apply substitution. You want to let U equal to go seek end of two x. And you get differential. A view equal to Negative Cosi Kent of two X. Times coats and enough to X Times two DX or that’s just…