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intx^(2)/((x^(2)+2)(x^(2)+3))dx=...

`intx^(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

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

Text Solution

Verified by Experts

The correct Answer is:
B
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