   Chapter 8.3, Problem 8E

Chapter
Section
Textbook Problem

Finding an Indefinite Integral Involving Sine and Cosine In Exercises 3-14, find the indefinite integral. ∫ cos 3 x 3   d x

To determine

To calculate: The Indefinite integral of the expression.

Explanation

Given:

The expression is cos3x3dx.

Calculation:

Consider the integral to be I,

I=cos3x3dx

Simplify it to a form, such that power rule can be used,

I=cos3x3dx=(cos2x3)cosx3dx=(1sin2x3)cosx3dx=cosx3dxsin2x3cosx3dx

For the integral involve power of sine and cosine,

Letu=sinx3du=cosx33d

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

Intervals Graph the set. 61. (2, 0) (1, 1)

Precalculus: Mathematics for Calculus (Standalone Book)

Convert the expressions in Exercises 6584 to power form. xy23

Finite Mathematics and Applied Calculus (MindTap Course List)

Evaluate the integral. 19. 1+x2xdx

Single Variable Calculus: Early Transcendentals

Using the power series for cos x, the sum of the series is: cos(0.0625) cos(0.25) cos(0.5)

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

Which curve is simple but not closed?

Study Guide for Stewart's Multivariable Calculus, 8th 