Evaluate the integral as a number, ∞, or −∞ or DNE if there is no limit. Also, determine if it converges or diverges. The integral is (2x)/(x+1)2 dx [0, ∞]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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Evaluate the integral as a number, ∞, or −∞ or DNE if there is no limit. Also, determine if it converges or diverges.

The integral is (2x)/(x+1)2 dx [0, ∞]

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First, we start with the integration,

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