int (dx)/((x+100)sqrt(x+99))=f(x)+c rArr...

`int (dx)/((x+100)sqrt(x+99))=f(x)+c rArr f(x)=`

A

`2(x+100)^(1//2)`

B

`3(x+100)^(1//2)`

C

`2tan^(-1)(sqrt(x+99))`

D

`2tan^(-1)(sqrt(x+100))`

Verified by Experts

The correct Answer is:

C

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