Chapter 6, Problem 12RE

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Evaluating a Definite Integral** In Exercises 9-12, use integration by parts to evaluate the definite integral.

To determine

**To calculate:** The value of the definite integral by integration by parts:

Explanation

**Given Information:**

Consider the integral:

**Formula used:**

The formula for the integration by parts is:

The integral of an exponential is:

Here,

**Calculation:**

Consider the integral and solve as,

Assume

Integrate,

And assume

Differentiate,

Use integration by parts to integrate

Again, assume

Integrate,

And assume

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