   Chapter 15.1, Problem 22E

Chapter
Section
Textbook Problem

Calculate the iterated integral.22. ∫ 0 1 ∫ 0 2 y e x − y d x   d y

To determine

To estimate: The value of given iterated integral.

Explanation

Formula used:

If g(x) is the function of x and h(y) is the function of y , then,

abcdg(x)h(y)dydx=abg(x)dxcdh(y)dy

Calculation:

Compute the given iterated integral by using the formula stated above.

0102yexydxdy=02exdx01yeydy

Integrate 01yeydy by using integration by parts.

Let u=y .

Then, dy=ey .

Therefore, the required integral value is obtained as follows

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