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Problem 11

Evaluate each iterated integral. (Many of these uā€¦

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Problem 11

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).
$$\int_{1}^{5} \int_{0}^{3}\left(x^{2} y+5 y\right) d x d y$$
Problem 12

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).
$$\int_{0}^{3} \int_{1}^{2}\left(x y^{3}-x\right) d y d x$$
Problem 13

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).
$$\int_{0}^{1} \int_{3}^{6} x \sqrt{x^{2}+3 y} d x d y$$
Problem 14

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).
$$\int_{0}^{3} \int_{4}^{5} x \sqrt{x^{2}+3 y} d y d x$$
Problem 15

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).
$$\int_{1}^{2} \int_{4}^{9} \frac{3+5 y}{\sqrt{x}} d x d y$$
Matt J.
Georgia Southern University
Problem 10

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

Answer

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

Chapter 9
Multivariable Calculus
Section 6
Double Integrals
Calculus with Applications

Topics

Double Integrals over Rectangles

Discussion

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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

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