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

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

A

`(sqrt(2))/(3)tan^(-1)((x)/(sqrt(2)))+(1)/(3sqrt2)tan^(-1)(sqrt(2x))+c`

B

`(sqrt(2))/(3)tan^(-1)((x)/(sqrt(2)))-(1)/(3sqrt2)tan^(-1)(sqrt(2x))+c`

C

`(2)/(3)tan^(-1)((x)/(sqrt(2)))+(1)/(3sqrt2)tan^(-1)(sqrt(2x))+c`

D

`(2)/(3)tan^(-1)((x)/(sqrt(2)))-(1)/(3sqrt2)tan^(-1)(sqrt(2x))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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