   Chapter 8.5, Problem 3E ### 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   2 x   d x

To determine

To calculate: The integral of sin2xdx.

Explanation

Given Information:

The provided integral is sin2xdx.

Formula used:

Write the formula of integral of sinu.

sinudu=cosu+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,

sin2xdx

Multiply and divide by 2.

sin2xdx=12(sin2x)2dx

Substitute u for 2x and du for 2dx

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