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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 49e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 49e

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# Using symmetry Use symmetry to evaluate the following

ISBN: 9780321570567 2

## Solution for problem 49E Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Problem 49E

Using symmetry Use symmetry to evaluate the following integrals.

a. $$\int_{-\infty}^{\infty} e^{-|x|} d x$$                                                                           b. $$\int_{-\infty}^{\infty} \frac{x^{3}}{1+x^{8}} d x$$

Step-by-Step Solution:

SOLUTION

We have to use symmetry to evaluate the given integrals.

A function is said to be even when

A function is said to be odd when

Therefore if a function is even,then

If a function is odd ,then

Step 1

(a).

Here we can see that .therefore this is a positive function.

Thus we can write

Step 2 of 2

##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: symmetry, evaluate, Integrals, use, Using. This expansive textbook survival guide covers 112 chapters, and 7700 solutions. The answer to “?Using symmetry Use symmetry to evaluate the following integrals.a. $$\int_{-\infty}^{\infty} e^{-|x|} d x$$ b. $$\int_{-\infty}^{\infty} \frac{x^{3}}{1+x^{8}} d x$$” is broken down into a number of easy to follow steps, and 18 words. Since the solution to 49E from 7.7 chapter was answered, more than 359 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 49E from chapter: 7.7 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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