Homework Help is Here – Start Your Trial Now!
Math
Calculus
Use integration by parts to evaluate the integral. | 512x cos(8x)dx

Use integration by parts to evaluate the integral. | 512x cos(8x)dx

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
Question
Use integration by parts to evaluate the integral. 512x2 cos(8x)dx +C
Transcribed Image Text:Use integration by parts to evaluate the integral. 512x2 cos(8x)dx +C
Expert Solution
Step 1

NOTE: Refresh your page if you can't see any equations.

.

\int 512x^2\cos \left(8x\right)dx

=512\cdot \int \:x^2\cos \left(8x\right)dx

use integration by parts

u=x^2,\:\:\:\:v'=\cos \left(8x\right)

u'=2x,\:\:\:\: v=\frac{1}{8}\sin \left(8x\right)

the rule is \int \:uv'=uv-\int \:u'v

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 16 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS