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

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

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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