How do you integrate $(x^2 + 2x -5) / [(x - 2)(x+1)(x^2+1)]$ ?

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How do you integrate $(x^2 + 2x -5) / [(x - 2)(x+1)(x^2+1)]$ ?

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Answer 1 · 2016-10-07T04:55:02

$1/5 ln |x - 2| + ln |x+1| + 8/5 arc tan x - 3/5 ln |x^2 + 1| + C$

Explanation:

I am not 100% sure for this one but I have attached a picture so that you may see what I did.
Please, feel free to ask any questions and even more, to correct what I did wrong :)
Integrals can be a pain lol enter image source here

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How do you integrate $(x^2 + 2x -5) / [(x - 2)(x+1)(x^2+1)]$ ?

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How do you integrate (x^2 + 2x -5) / [(x - 2)*(x+1)*(x^2+1)](x^2 + 2x -5) / [(x - 2)*(x+1)*(x^2+1)]?

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How do you integrate $(x^2 + 2x -5) / [(x - 2)(x+1)(x^2+1)]$ ?