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

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

A

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

B

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

C

`(1)/(2)[log |x-2|+(1)/(2) log (x^(2)-1)-2 Tan^(-1)x]+c`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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