   Chapter 15.2, Problem 3E

Chapter
Section
Textbook Problem

Evaluate the iterated integral.3. ∫ 0 1 ∫ 0 y x e y 3   d x   d y

To determine

To estimate: The value of given iterated integral.

Explanation

First, compute the integral with respect to x.

010y(xey3)dxdy=01[0y(xey3)dx]dy=01[(x2ey32)]0ydy

Apply the limit value for x,

010y(xey3)dxdy=01ey3[y220]dy=1201y2ey3dy

Compute the integral with respect to y

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