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int (sqrt(x^(2)+1)[log(x^(2)+1)-2 logx])...

`int (sqrt(x^(2)+1)[log(x^(2)+1)-2 logx])/(x^(4))dx=`

A

`((x^(2)+1)^(3//2))/(9x^(3))[2+3log(1+(1)/(x^(2)))]+c`

B

`((x^(2)+1)^(3//2))/(9x^(3))[1-2 log(1+(1)/(x^(2)))]+c`

C

`((x^(2)+1)^(3//2))/(9x^(3))[2-3 log(1+(1)/(x^(2)))]+c`

D

`((x^(2)+1)^(3//2))/(9x^(3))[2+3 log(1-(1)/(x^(2)))]+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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