`I=int_(0)^(1)((1+x)/(2-x))dx`

Evaluate : (i) int_(0)^(1//2)(dx)/(sqrt(1-x)) (ii) int_(0)^(1)((1-x)/(1+x))dx

If I_(1)=int_(0)^((pi)/(2))(x)/(sin x)dx and I_(2)=int_(0)^(1)(tan^(-1)x)/(x)dx, then (I_(1))/(I_(2))=(A)1(B)(1)/(2) (C) 2 (D) (pi)/(2)

I_(1)=int_(0)^((pi)/(2))(sin x-cos x)/(1+sin x cos x)dx,I_(2)=int_(0)^(2 pi)cos^(6)xdx,I_(3)=int_((pi)/(2))^((pi)/(2))sin^(3)xdx,I_(4)=int_(0)^(1)1n((1)/(x)-1)dx. Then I_(1)=I_(3)=I_(4)=0,I_(1)!=0I_(1)=I_(3)=0,I_(4)!=0I_(1)=I_(2)=0,I_(4)!=0I_(1)=I_(2)=I_(3)=0,I_(4)!=0

If I_(1)=int_(0)^(2pi)sin^(3)xdx and I_(2)=int_(0)^(1)ln((1)/(x)-1)dx , then

Given I=int_(0)^( pi/2)(x)/(sin x)dx, quad J=int_(0)^(1)(tan^(-1)x)/(x)dx. Then value of (I)/(J) is:

If I=int_(0)^(1)(1)/(1+x^(8))dx then:

I=int_(0)^(2)log((2)/(x)-1)dx

If I=int_(0)^(1)(1)/(sqrt(2-x-x^(2)))*dx then which of the following is true

I=int_(0)^(1)e^(x^(2)-x)dx then

If I=int_(0)^(1) (1+e^(-x^2)) dx then, s