`int_(0)^(1)sin^-1xdx`

Evaluate : (i) int_(0)^(1)sin^(-1)xdx , (ii) int_(1)^(2)(lnx)/(x^(2))dx , (iii) int_(0)^(1)x^(2)sin^(-1)xdx .

I=int_(0)^(1)tan^(-1)xdx

Let J=int_(0)^(1)cot^(-1)(1-x+x^(2))dx and K= int_(0)^(1)tan^(-1)xdx .If J=lambda K (lambda in N) , then lambda equals

int_(0)^(1) sin^(-1) x dx =(pi)/(2) -1

Evaluate: int_0^1 sin^-1x/xdx

Prove that int_0^1sin^(-1)xdx=pi/2-1

int_(0)^( pi)x sin^(-1)xdx

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

If agt0 and A=int_(0)^(a)cos^(-1)xdx, and int_(-a)^(a)(cos^(-1)x-sin^(-1)sqrt(1-x^(2)))dx=pia-lamdaA . Then lamda is

If I = int_(0)^(2pi)sin^(2)xdx , then