   Chapter 8.5, Problem 2CP ### 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 each indefinite integral.a. ∫ 4 x 3 cos   x 4   d x b. ∫ sec 2   5   x   d x

(a)

To determine

To calculate: The integral of 4x3cosx4dx.

Explanation

Given Information:

The provided integral is 4x3cosx4dx.

Formula used:

Write the formula of integral of cosu.

cosudu=sinu+C

Write the formula for derivative of xn.

ddxxn=nxn1

Calculation:

Consider u=x4.

Differentiate with respect to x,

d(u)dx=d(x4)dxd(u)dx=4x3

And,

du=4x3dx

The provided integral is,

4x3cosx4dx

Rewrite

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