Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Integrate each of the given functions.$$\int 3 e^{y} \sqrt{1+e^{y}} d y$$

Calculus 1 / AB

Chapter 28

Methods of Integration

Section 3

The Exponential Form

Integrals

Missouri State University

Baylor University

University of Michigan - Ann Arbor

University of Nottingham

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:04

Evaluate each integral.

02:26

01:34

Evaluate each definite int…

00:54

Use substitution to find e…

01:51

01:43

01:02

02:59

01:38

02:58

Evaluate the following int…

mhm. We want to evaluate the following integral, the indefinite integral of three E. To the Y. Times square root of one plus E. To the Y do I. This question is testing our knowledge of methods of integration. This section has been focused around exponential integration which dates of the interior of eating pudu is even the U. Plus C. In this particular problem we could use exponential integration to solve. But the problem is that we have even the Y appearing twice in our integral. Once under the square root sign with one plus E. To the Y and once outside. So instead how we're going to solve is using a recently learned method that we learned before. The section called the Power rule. The power we have to notify you D. U. N. N. You as one plus E. To the Y. Do you eat at the Y. And and is one half. So including an extra factor of three. And our solution we have our integral equal to two times one plus. Otherwise the three half plus C. We note that the following formula was used to obtain the solution. This is the power rule formula

View More Answers From This Book

Find Another Textbook

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Evaluate each integral. $$\int_{-1}^{1} e^{2 x+3 y} d y$$

Evaluate each integral.$$\int_{0}^{3} y e^{4 x+y^{2}} d y$$

Evaluate each definite integral.$$\int_{-3}^{-2}\left(2 e^{-0.1 y}+\frac…

Use substitution to find each indefinite integral.$$\int \frac{e^{\sqrt{…

Evaluate each integral.$$\int_{1}^{2}\left(x y^{3}-x\right) d y$$

Evaluate each definite integral.$$\int_{1}^{3} \frac{\sqrt{\ln x}}{x} d …

Evaluate each definite integral.$$\int_{1}^{4}(5 y \sqrt{y}+3 \sqrt{y}) …

Evaluate the following integrals.$$\int_{1}^{\sqrt[3]{2}} y^{8} e^{y^{3}…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.