`int_(0)^(1/2)sin^-1xdx`

Let f be continuous,and strictly monotonic increasing,on [0, a l Let g=f^(-1). If f(0)=0,0 =wh. Hence evaluate int_(0)^((pi)/(2))sin xdx int_(0)^(1)sin^(-1)xdx

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

Prove that int_(0)^(1)sin^(-1)xdx=(pi)/(2)-1

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

int_(0)^( pi/2)sin xdx

int_(0)^( pi/2)sin xdx

int_(0)^( pi/2)sin xdx

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

" (i) "int_(0)^( pi/2)sin^(-1)xdx