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int dx/((x^(2)+a^(2))(x^(2)+b^(2)))=...

`int dx/((x^(2)+a^(2))(x^(2)+b^(2)))=`

A

`1/(a^(2)-b^(2)) (1/atan^(-1)(x/a)-1/b tan^(-1)(x/b))`

B

`1/(b^(2)-a^(2))(1/a (tan^(_1))x/a-1/b(tan^(-1))x/b)`

C

`1/a (tan^(-1))x/a +1/b (tan^(-1))x/b`

D

`1/(a^(2)-b^(2)) tan^(-1)((x^(2)+a^(2))/(x^(2)+b^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
B
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