Chapter 13.6, Problem 15E

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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 2 and rewrite the integral as,

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,

Now, Let

And differentiate the equation

Thus, the integral becomes,

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