   Chapter 12, Problem 15RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Evaluate the integrals in Problems 1-26. ∫ y 2 e y 3   d y

To determine

To calculate: The value of the integral y2ey3dy.

Explanation

Given Information:

The provided integral is y2ey3dy

Formula used:

According to the exponential rule of integrals:

exdx=ex+C

Calculation:

Consider the provided integral:

y2ey3dy

Now, rewrite the integral by dividing and multiplying by 3 as,

Thus,

133y2ey3dy

Now, let y3=t, then on obtaining differentials,

3y2dx=dt

Thus, the integral becomes,

13etdt

Now, use the exponential rule of integrals as,

13etdt=13et+C

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