   Chapter 8.5, Problem 10E ### 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

# Integrating a Trigonometric Function In Exercises 1–32, find the indefinite integral. See Examples 1, 2, 3, 4, 5, and 8. ∫ csc x 3 cot x 3 d x

To determine

To calculate: The integral of cscx3cotx3dx.

Explanation

Given Information:

The provided integral is cscx3cotx3dx.

Formula used:

Write the formula of integral of cscucotu.

cscucotudu=cscu+C

Write the formula for derivative of xn.

ddxxn=nxn1

Calculation:

Consider u=x3.

Differentiate with respect to x,

d(u)dx=d(x3)dx=13

And,

du=13dx

The provided integral is,

cscx3cotx3dx

Multiply and divide by 3.

cscx3cotx3dx=3(cscx3cotx3)(13dx)

Substitute u for x3 and du for 13dx

### 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

#### Evaluate the expression sin Exercises 116. 52535252

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Problems 45-48, determine the missing factor. 47.

Mathematical Applications for the Management, Life, and Social Sciences

#### True or False: These lines are skew:

Study Guide for Stewart's Multivariable Calculus, 8th 