   Chapter 8.5, Problem 46E ### 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

# Evaluating a Definite Integral In Exercises 39-46, evaluate the definite integral. See Example 6. ∫ 0 3 π sec x 9 d x

To determine

To calculate: The value of definite integral 03πsecx9dx.

Explanation

Given Information:

The provided integral is 03πsecx9dx.

Formula used:

Write the formula of definite integral of absecudu.

absecudu=[ln|secu+tanu|]ab

The provided integral is,

03πsecx9dx

Multiply and divide by 9.

03πsecx9dx=903π(secx9)19dx

Let u=x9.

Differentiate the above considered expression.

du=19dx

Substitute u for x9 and du for 19dx.

03πsecx9dx=903πsecudu

Integrate with the help of above integration formula absecudu.

03πsecx9dx=9[ln|secu+tanu|]03π

Substitute x9 for u

### 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

#### arcsin2x+arccos2x=1

Calculus: Early Transcendental Functions

#### In Problem 8-10, solve the inequality and graph the solution 8.

Mathematical Applications for the Management, Life, and Social Sciences

#### Evaluate the indefinite integral. ecostsintdt

Single Variable Calculus: Early Transcendentals

#### Given: m13=70 Find: m3

Elementary Geometry For College Students, 7e

#### True or False: is monotonic.

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