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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Checkpoint 3

Evaluate the improper integral, if possible.

0 e 2 x d x

To determine

To calculate: The value of the improper integral 0e2xdx if possible.

Explanation

Given Information:

The expression is provided as:

0e2xdx.

Formula used:

From definition of improper integral.

bf(x)dx=limaabf(x)dx

Also, the expression for the integration of a inverse function is as follows:

eax=eaxa+C

Calculation:

Consider the provided expression:

0e2xdx

Use the property of improper integral and simplify as:

0

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