Problem

Evaluate each iterated integral. (Many of these u…

06:35

Problem 10 Easy Difficulty

Evaluate each integral.
$$\int_{1}^{5} y e^{4 x+y^{2}} d x$$

Answer

$=4 y\left(e^{y^{2}+20}-e^{y^{2}+4}\right)$

Topics

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Book Cover for Calculus with Appli…

Calculus with Applications

Chapter 9

Multivariable Calculus

Section 6

Double Integrals

Discussion

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Watch More Solved Questions in Chapter 9

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

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Video Transcript

okay. And a girl from one to five. Of Why? To the four x plus Why squared Teo? Yeah, actually, D x. Okay, so yeah, this why we're treating as a constant so we can actually factor that out. And we're just looking for an anti derivative of e to the forex. That's why squared with respect X, That's not too bad. It's just going to be itself. But we're going to divide by a factor of four to account for the changeable. Why ever for and then need to the forex. Plus why Squared would get us verify this by taking derivative We wanted to and evaluation from one to five feet. Why, whatever for time's he to the four kinds five. Twenty. That's why I squared minus me too. The four times one plus y squared

Matt J.

Georgia Southern University

Topics

Vector Functions

Partial Derivatives

Multiple Integrals

Vector Calculus

Book Cover for Calculus with Appli…

Calculus with Applications

Chapter 9

Multivariable Calculus

Section 6

Double Integrals

Top Calculus 3 Educators

Lily A.

Johns Hopkins University

Heather Z.

Oregon State University

Kayleah T.

Harvey Mudd College

Kristen K.

University of Michigan - Ann Arbor