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int x^2/((x^2+2)(x^2+3))dx...

`int x^2/((x^2+2)(x^2+3))dx`

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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