menu
Hit Return to see all results
Chapter 8.7, Problem 55E
BuyFindarrow_forward

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

#### Solutions

Chapter
Section
BuyFindarrow_forward

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Finding or Evaluating an Integral In Exercises 55–62, find or evaluate the integral. ∫ 1 2 − 3 sin θ   d θ

To determine

To calculate: The value of the indefinite integral 123sinθdθ by the use of a table of integrals.

Explanation

Given:

The integral is: âˆ«12âˆ’3sinÎ¸dÎ¸.

Formula used:

Use the formula 24 from the table of integrals:

âˆ«1u2âˆ’a2du=12aln|uâˆ’au+a|+C

Calculation:

Consider the provided integral,

âˆ«12âˆ’3sinÎ¸dÎ¸

Let u=tanÎ¸2.

Then du=2sec2Î¸2dÎ¸.

And

sinÎ¸=2u1+u2sec2Î¸2=11+u2

Now, substitute the values in the provided integral.

âˆ«12âˆ’3sinÎ¸dÎ¸=âˆ«2du1+u22âˆ’3(2u1+u2)=âˆ«22(1+u2)âˆ’6udu=âˆ«1u2âˆ’3u+1du=âˆ«1(uâˆ’32)2âˆ’54du

Now, use the formula 24

### 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

## Additional Math Solutions

#### Find more solutions based on key concepts

Show solutions add

#### In Exercises 516, evaluate the given quantity. log1,000

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 14, find the values of x that satisfy the inequality (inequalities). 2. 2 3x + 1 7

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

#### Simplify:

Mathematical Applications for the Management, Life, and Social Sciences