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

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

A

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

B

`3sqrt(x+100)+c`

C

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

D

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

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If int (e^(x)-1)/(e^(x)+1) dx = f(x) + c then f(x) =

If int e^(x)(1+x)sec^(2)(xe^(x))dx = f(x) +c then f(x) equal to

If int e^(x) ((1-sinx)/(1-cos x)) dx = f(x) + c then f(x) =

int f(x) dx = g(x) , then int f(x)g(x) dx =

If int (e^(x)(1+sinx))/(1+cosx) dx = e^(x) f(x) + c then f(x) =

int sinx/(cos x (1+cos x)) dx = f(x) + c implies f(x) =

int (1+xtanx)^(-2) dx = 1/(x+f(x))+c then f(x) =

int (√(tanx))/ (sin x cos x) dx = -f(x) =c, then f(x) =

If f((3x-4)/(3x+4)) = x +2 , then int f(x) dx =

If int f(x) dx = f(x) , then int {f(x)}^(2) dx =