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Integrate the following with respect to ...

Integrate the following with respect to x :
(i) `(2x-3)/(x^2+4x-12)` (ii) `(5x-2)/(2+2x+x^2)` (iii) `(3x+1)/(2x^2-2x+3)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `1/8log|(x-2)/(x+6)|`
(ii) `5/2log|x^2+2x+2|-7tan^(-1)(x+1)+c`
(iii) `3/4log|2x^2-2x+3\+sqrt5/2tan^(-1)((2x-1)/(sqrt5))+c`
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