   Chapter 8.5, Problem 26E ### 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
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# Integrating a Trigonometric Function In Exercises 1–32, find the indefinite integral. See Examples 1, 2, 3, 4, 5, and 8. ∫ sin x cos 2 x d x

To determine

To calculate: The integral of sinxcos2xdx.

Explanation

Given Information:

The provided integral is sinxcos2xdx.

Formula used:

Write the formula of integral of un.

undu=un+1n+1+C

Write the formula for derivate of cosu.

ddx[cosu]=sinududx

Calculation:

Consider u=cosx.

Differentiate the above considered function.

du=sinxdx

The provided integral is,

sinxcos2xdx

Rewrite the expression as:

sinxcos2xdx=1cos2x(sinxdx)

Substitute u for cosx and du for sinxdx

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