   Chapter 12, Problem 20RE ### 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. 20. ∫ x e 1 + x 2 d x

To determine

To calculate: The value of the integral xe1+x2dx.

Explanation

Given Information:

The provided integral is xe1+x2dx.

Formula used:

According to the exponential rule of integrals:

exdx=ex+C

Calculation:

Consider the provided integral:

xe1+x2dx

Rewrite the provided integral by dividing by multiplying by 2 as,

122xe1+x2dx

Now, let 1+x2=t, then on obtaining differentials,

2xdx=dt

Thus, the integral becomes,

122xe1+x2dx=12etdt

Now, use exponential rule of integral as,

122xe1+x2dx=12etdt

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