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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

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Chapter
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BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

Evaluating Integrals

Use the result of Exercise 63 and a change of variables to evaluate each integral. No integration is required.

a) I = e x 2 d x b) I = e 4 x 2 d x

(a)

To determine

To Calculate: The value of the integral ex2dx by means of results of problem 63

Explanation

Given:

The value of the integral I=ex22dx=2π

Calculation:

Let

u=2x

then we can write

ex2dx=eu22

(b)

To determine

To Calculate: The value of the integral e4x2dx by using results of problem 63.

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Chapter 14 Solutions

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P-16RECh-14 P-17RECh-14 P-18RECh-14 P-19RECh-14 P-20RECh-14 P-21RECh-14 P-22RECh-14 P-23RECh-14 P-24RECh-14 P-25RECh-14 P-26RECh-14 P-27RECh-14 P-28RECh-14 P-29RECh-14 P-30RECh-14 P-31RECh-14 P-32RECh-14 P-33RECh-14 P-34RECh-14 P-35RECh-14 P-36RECh-14 P-37RECh-14 P-38RECh-14 P-39RECh-14 P-40RECh-14 P-41RECh-14 P-42RECh-14 P-43RECh-14 P-44RECh-14 P-45RECh-14 P-46RECh-14 P-47RECh-14 P-48RECh-14 P-49RECh-14 P-50RECh-14 P-51RECh-14 P-52RECh-14 P-53RECh-14 P-54RECh-14 P-55RECh-14 P-56RECh-14 P-57RECh-14 P-59RECh-14 P-60RECh-14 P-61RECh-14 P-62RECh-14 P-63RECh-14 P-64RECh-14 P-65RECh-14 P-66RECh-14 P-67RECh-14 P-68RECh-14 P-69RECh-14 P-70RECh-14 P-71RECh-14 P-72RECh-14 P-73RECh-14 P-74RECh-14 P-75RECh-14 P-76RECh-14 P-77RECh-14 P-78RECh-14 P-1PSCh-14 P-2PSCh-14 P-3PSCh-14 P-4PSCh-14 P-5PSCh-14 P-6PSCh-14 P-7PSCh-14 P-8PSCh-14 P-9PSCh-14 P-10PSCh-14 P-11PSCh-14 P-12PSCh-14 P-14PSCh-14 P-15PSCh-14 P-16PSCh-14 P-18PS

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