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int (dx)/((9+x^(2)))=?...

`int (dx)/((9+x^(2)))=?`

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

`I=int(dx)/((3^(2)+x^(2)))=(1)/(3)tan^(-1)""(x)/(3)+C.`
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