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

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

int sin^(-1)sqrt((x)/(a+x))dx

int sin^(-1)sqrt((x)/(a+x))dx

int sin^(-1)sqrt((x)/(a+x))dx

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

If the value of the definite integral int_(0)^(1)(sin^(-1)sqrt(x))/(x^(2)-x+1)dx is (pi^(2))/(sqrt(n)) (where n in N), then the value of (n)/(27) is

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

int_(0)^((pi)/(4))sin^(-1)sqrt((x)/(a+x))dx

int_(0)^((pi)/(4))sin^(-1)sqrt((x)/(a+x))dx