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int(x^2)/(x^4+5x^2+6)dx=...

`int(x^2)/(x^4+5x^2+6)dx=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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