   Chapter 8.5, Problem 6E ### 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. ∫   2 x sin x 2   d x

To determine

To calculate: The integral of 2xsinx2dx.

Explanation

Given Information:

The provided integral is 2xsinx2dx.

Formula used:

Write the formula of integral of sinu.

sinudu=cosu+C

Write the formula for derivative of xn.

ddxxn=nxn1

Calculation:

Consider u=x2.

Differentiate with respect to x,

d(u)dx=d(x2)dx=2x

And,

du=2xdx

The provided integral is,

2xsinx2dx

Rewrite

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