   Chapter 8.5, Problem 5E ### 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. ∫   6 x 5 cos x 6   d x

To determine

To calculate: The integral of 6x5cosx6dx.

Explanation

Given Information:

The provided integral is 6x5cosx6dx.

Formula used:

Write the formula of integral of cosu.

cosudu=sinu+C

Write the formula for derivative of xn.

ddxxn=nxn1

Calculation:

Consider u=x6.

Differentiate with respect to x,

d(u)dx=d(x6)dx=6x5

And,

du=6x5dx

The provided integral is,

6x5cosx6dx

Rewrite

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