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

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

A

`(1)/(5)[log(x+2)-(1)/(2)log(1+x^(2))+2tan^(-1)x]+c`

B

`(1)/(5)[log(x-2)+(1)/(2)log(1+x^(2))+2tan^(-1)x]+c`

C

`(1)/(5)[log(x-2)-(1)/(2)log(1+x^(2))-2tan^(-1)x]+c`

D

`log(x-2)+tan^(-1)x+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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