   Chapter 6, Problem 15TYS ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 14–17, determine whether the improper integral diverges or converges. Evaluate the integral if it converges. ∫ 1 ∞ 2 x d x

To determine

Whether the improper integral 11xdx diverges or converges and evaluate if it converges.

Explanation

Consider the provided integral:

11xdx

From definition of improper integral.

af(x)dx=limbabf(x)dx

Also, the integral for the integration of a polynomial is as follows:

xndx=xn+1n+1+C

Here, n0

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