`I =int_0^1 x/sqrt(1+x^2) dx`

Evaluate int_0^1x^6sqrt(1-x^2) dx

Evaluate: (i) int_0^4 1/(sqrt(x^2+2x+3))dx (ii) int_0^a1/(sqrt(a x-x^2))dx

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

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

Evaluate : int_0^1 1/(sqrt(2x+3))\ dx

If I=int_(0)^(1) (dx)/(sqrt(1+x^(4)))dx then

Let I=int_0^1(sinx)/(sqrt(x))dx"and"J=int_0^1(cosx)/(sqrt(x))dx Then which one of the following is true? (1) I >2/3"and"j >2 (2) I 2 (4) I >2/3"and"j<2

int_0^1 x^5sqrt((1+x^2)/(1-x^2))dx

If int_0^1 (1+x+sqrt(x+x^2))/(sqrt(x)+sqrt(1+x))dx=1/a(2^a-1) , then the value of 4a^2 is …

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