" 4."sin^(-1)(x sqrt(x)),0<=x<=1

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

If sin^(-1)(tan pi//4)-sin^(-1)(sqrt(3//x))-pi//6=0 , then x is a root of the equation

Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/(2)}=(pi)/(4)+(sin^(-1)x)/(2),0

If 4sin^(2)x-2 (1+sqrt(3))sin x + sqrt(3)=0 then theta =

Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/2}=pi/4+(cos^(-1)x)/2,""0 < x < 1

Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/2}=pi/4+(cos^(-1)x)/2,""0 < x < 1

Prove that: sin^(-1){(sqrt(1+x)+sqrt(1-x))/2}=pi/2-(sin^(-1)x)/2,""0 < x < 1

Differentiate sin^(-1){(sqrt(1+x)+sqrt(1-x))/2},\ \ 0

int sqrt((x)/(1-x))dx is equal to sin^(-1)sqrt(x)+C(b)sin^(-1){sqrt(x)-sqrt(x(1-x))}+C(c)sin^(-1){sqrt(x(1-x)}+C(d))sin^(-1)sqrt(x)-sqrt(x(1-x))+C