   Chapter 13.6, Problem 25E ### 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

# In Problems 25-30, select the formula or method (I-IV) that should be used to evaluate each integral. Then evaluate the integral.Integration by partsII. ∫ e u   d u III. ∫ d u u IV. ∫ u n   d u ∫ x e x 2   d x

To determine

To calculate: The value of the integral xex2dx.

Explanation

Given Information:

The provided integral is xex2dx.

Formula used:

According to the exponential rule of integrals,

eudu=eu+C

Differentiation formula,

d(xn)dx=nxn1

Calculation:

Consider the provided integral:

xex2dx

The integral is similar to the formula eudu.

Now to evaluate further let, u=x2

Differentiate u=x2 by the use of differential formula, d(xn)dx=nxn1

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