menu
Hit Return to see all results
Chapter 14.1, Problem 9E
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

Evaluating an Integral In Exercises 3-10, evaluate the integral. ∫ 0 x 3 y e − y ▭ x d y

To determine

To calculate: The value of integral 0x3yeyxdy.

Explanation

Given:

The integral is âˆ«0x2yeâˆ’yxdy.

Formula used:

Use the following rule of integration:

âˆ«eâˆ’xdx=âˆ’eâˆ’x+C

Where; C is integration constant.

Use integration by parts:

âˆ«f(x)g(x)dx=f(x)âˆ«g(x)dxâˆ’âˆ«[ddx(f(x))âˆ«g(x)dx]dx

Calculation:

Here, in the question, the integration is performed with respect to y, so the variable x is treated to be constant.

Now,

âˆ«0x3yeâˆ’yxdy=[yâˆ«eâˆ’yxdyâˆ’âˆ«(ddy(y)âˆ«eâˆ’yxdy)dy]0x3=[y(âˆ’xeâˆ’yx)âˆ’âˆ«(âˆ’xeâˆ’yx)dy

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 1728, use the logarithm identities to obtain the missing quantity.

Finite Mathematics and Applied Calculus (MindTap Course List)

For 0

Study Guide for Stewart's Multivariable Calculus, 8th

For y = x sin x, y = _____. a) x cos x b) x cos x + 1 c) cos x d) x cos x + sin x

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