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If int (dx)/(sqrt(x)(x+9))=f(x)+ constan...

If `int (dx)/(sqrt(x)(x+9))=f(x)+` constant, then f(x)=

A

`(2)/(3)Tan^(-1)sqrt(x)`

B

`(2)/(3)Tan^(-1)((sqrt(x))/(3))`

C

`Tan^(-1)sqrt(x)`

D

`Tan^(-1)((sqrt(x))/(3))`

Text Solution

Verified by Experts

The correct Answer is:
B
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