   Chapter 8.5, Problem 16E ### 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. ∫ cos t 1 + sin t d t

To determine

To calculate: The integral of cost1+sintdt.

Explanation

Given Information:

The provided integral is cost1+sintdt.

Formula used:

Write the formula of integral of 1udu.

1udu=ln|u|+C

Write the formula for derivate of sinu.

ddx[sinu]=cosududx

Calculation:

Consider u=1+sint.

Differentiate the above considered function.

du=costdt

The provided integral is,

cost1+sintdt

Rewrite.

cost1+sintdt=11+sintcostdt

Substitute u for 1+sint and du for costdt

### 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 mean for the following set of scores: 2, 7, 9, 4, 5, 3, 0, 6

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

#### In Problems 19-44, factor completely. 25.

Mathematical Applications for the Management, Life, and Social Sciences

#### Which number is the best choice for the value of a in the following graph? a) e b) 1 c) 2 d) 3

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

#### The area of the parallelogram at the right is: 26

Study Guide for Stewart's Multivariable Calculus, 8th 