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Integration by parts - help!!!?

0 votes
The question is: integration the following equation using integration by parts only:

(2x+1)/(x^2+x-2)

Thanks!
asked Apr 29, 2013 in CALCULUS by linda Scholar

1 Answer

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ʃ(2x + 1)dx / (x2 + x - 2)

Let x2 + x - 2 = t

Diferenciate each side with respective x

Recall : Derivative of xn = n (xn-1)

(2x + 1)dx = dt

Substitute x2 + x - 2 = t and (2x + 1) dx = dt

ʃ2x + 1)dx / (x2 + x - 2) = ʃdt / t

                                        = log|t| + C

Substitute t = x2 + x  - 2

                                        = log|x2 + x - 2| + C.

 

answered Apr 30, 2013 by diane Scholar

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