   Chapter 8.5, Problem 4CP ### 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
13 views

# Find ∫ cos 3   2 x   sin   2 x   d x .

To determine

To calculate: The integral of cos32xsin2xdx.

Explanation

Given Information:

The provided integral is cos32xsin2xdx.

Formula used:

Write the formula of integral of un.

undu=un+1n+1+C

Write the formula for derivative of cosu.

ddx[cosu]=sinududx

Write the formula for derivative of xn.

ddxxn=nxn1

Calculation:

Consider u=cos2x.

Differentiate with respect to x,

d(u)dx=d(cos2x)dx=sin2x2

And,

du=(sin2x)2dx=2sin2xdx

The provided integral is,

cos32xsin2xdx

Rewrite.

cos32xsin2xdx=(cos2x)3(sin2xdx)

Multiply and divide by 2

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find the derivative of the function. y = x2 e1/x

Single Variable Calculus: Early Transcendentals, Volume I

#### In Exercises 3540, rationalize the numerator of each expression. 36. y3x

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### Where , find the approximate length of AC.

Elementary Geometry For College Students, 7e

#### The average value of f(x) = 3x2 + 1 on the interval [2, 4] is: a) 29 b) 66 c) 58 d) 36

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### For 0

Study Guide for Stewart's Multivariable Calculus, 8th 