Evaluate: int(x^2+1)/((x-2)^2(x+3))\ dx...

Evaluate: `int(x^2+1)/((x-2)^2(x+3))\ dx`

A

(a) `1/5logabs(x-2)-1/(x-2)+2/5logabs(x+3)+c`

B

(b) `3/5logabs(x-2)-1/(x-2)+2/5logabs(x+3)+c`

C

(c) `3/5logabs(x-2)+1/(x-2)+2/5logabs(x+3)+c`

D

(d) `1/5logabs(x-2)+1/(x-2)+2/5logabs(x+3)+c`

Verified by Experts

The correct Answer is:

B

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