`int_(0)^(1)(sin^-1x)/(x) `dx

Prove that : int_(0)^(1)(sin^(-1)x)/(x) dx = (pi)/(2) log 2

int_0^(1)(sin^(- 1)x)/x dx=

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

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

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)^(1//2) (sin^(-1)x)/((1-x^(2))^(3//2)) dx

If int_(0)^(1) (e^(x))/( 1+x) dx = k , then int_(0)^(1) (e^(x))/( (1+x)^(2)) dx is equal to

Evaluate int_(0)^(1)(ln(1+x))/(1+x)dx

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

Evaluate: int_0^1sin^(-1)x\ dx