How to find the integral ∫(x+3)dx/(x^2+2)^2
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How to find the integral ∫(x+3)dx/(x^2+2)^2

[From: ] [author: ] [Date: 11-11-15] [Hit: ]
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What is the integral of (x+3)dx/(x^2+2)^2 and how to find it?

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Evaluate ∫ x dx / (x^2 + 2) using the substitution u = x^2 + 2, and
∫ 3 dx / (x^2 + 2) using the substitution x = √2 tan(u).

You should get (1/4)(3x - 2)/(x^2 + 2) + ((3√2)/8) arctan(x/√2) + C.

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Cool!

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