`int_{0}^{1}sin^-1xdx`

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

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

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 .

Evaluate: int_0^1xtan^(-1)xdx

int_0^1 tan^-1xdx

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

Show that: int_0^1 tan^-1x/xdx=1/2int_0^(pi/2) ycosecy dy

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

int_0^1 (tan^-1x)/xdx-1/2int_0^(pi/2) t/sint dt has the value (A) -1 (B) 1 (C) 2 (D) 0