`int_0^1 x/sqrt(1+x)dx`

int_0^1 x/sqrt(1+x^2)dx

int_0^1 x/sqrt(1-x^2)dx

int_0^1 x/(1+sqrt(x))dx

int_0^1 dx/sqrt(1-x^2)

(i) int_0^1 x sqrt(2-x) dx (ii) int_0^1 x^2(1-x)^n dx

int_0^1 1/sqrt(5x+3) dx=

int_0^1 (dx)/(sqrt(1+x)-sqrtx)

The value of the integral int_(0)^(1) (sqrt(x)dx)/((1+x) (1+3x ) (3+x)) is :

Mark the correct alternative in each of the following: int_0^1sqrt(x(1-x))dx equals pi//2 (b) pi//4 (c) pi//6 (d) pi//8