int(dx)/((1+sqrt(x))sqrt((x-x^(2)))) is ...

`int(dx)/((1+sqrt(x))sqrt((x-x^(2))))` is equal to

A

`(sqrtx+1)/(sqrt(1-x))+C`

B

`2((sqrtx-1)/(sqrt(1+x)))+C`

C

`2((sqrtx-1)/(sqrt(1-x)))+C`

D

`(sqrtx+1)/(sqrt(1+x))+C`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The value of int (dx)/((1+sqrtx)(sqrt(x-x^2))) is equal to

int(sqrt(x))/(1+4sqrt(x^(3)))dx is equal to

int(dx)/(sqrt(x-x^(2))) equal is :

int(x-1)/((x+1)sqrt(x^(3)+x^(2)+x))dx is equal to

int(1)/(sqrt(x)[sqrt(x)+1])dx

int sqrt((x)/( 1-x))dx is equal to

int(x)/(sqrt(1+x^(2)+sqrt((1+x^(2))^(3))))dx is equal to

int(cos sqrt(x))/( sqrt(x)) dx is equal to

The value of int(dx)/(x+sqrt(a^(2)-x^(2))) , is equal to

int ( dx)/( sqrt( 2x - x^(2))) is equal to