Chapter 13.6, Problem 13E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

In Problems 1-16, use integration by parts to evaluate the integral.

To determine

**To calculate:** The value of the integral

Explanation

**Given Information:**

The provided integral is

**Formula used:**

The formula for integration by parts is given by:

According to the power rule of integrals,

Differentiation formula,

**Calculation:**

Consider the provided integral:

Multiply and divide by

Now, split the integrand into two parts

Set one part equal to

So, the values will be:

And,

Now use the differential formula

And integrate *v* by the use of power rule of integrals,

Let

Differentiate the equation,

Thus, the integral becomes,

Now, use the formula for integration by parts,

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