   Chapter 8.5, Problem 3CP ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

# Find ∫ 2 csc   2 x   cot   2 x   d x .

To determine

To calculate: The integral of 2csc2xcot2xdx.

Explanation

Given Information:

The provided integral is 2csc2xcot2xdx.

Formula used:

Write the formula of integral of cscucotu.

cscucotudu=csc+C

Write the formula for derivative of xn.

ddxxn=nxn1

Calculation:

Consider u=2x.

Differentiate with respect to x,

d(u)dx=d(2x)dx=2

And,

du=2dx

The provided integral is,

2csc2xcot2xdx

Rewrite.

2csc2xcot2xdx=(csc2x)(cot2x)2dx

Substitute u for 2x and du for 2dx

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