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int(1)/((x-3)(x^(2)-7))dx=...

`int(1)/((x-3)(x^(2)-7))dx=`

A

`(1)/(2)((1)/(x-3)+(x+3)/(x^(2)-7))+c`

B

`(1)/(2)log(x-3)-(1)/(4)log(x^(2)-7)-(3)/(4sqrt7)log((sqrt7+x)/(sqrt7-x))+c`

C

`-(1)/(2)[(1)/(x-3)-(x+3)/(x^(2)-7)]+c`

D

`(1)/(2)[(x+3)/(x^(2)-7)-(1)/(x-3)]+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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