" (ii) "sqrt(1.-sin x)

int sqrt(1-sin x)dx

int sqrt((1-sin x))dx

The value of (sqrt(1 + sin x )+sqrt(1 - sin x))/(sqrt(1 + sin x )-sqrt(1-sin x)) is equal to

show that , cot ^(-1) {(sqrt(1+sin x)+sqrt(1- sin x))/( sqrt(1+sin x)- sqrt(1-sin x))}=(x)/(2),0 lt x lt (pi)/(2)

Prove that cot^(-1) ((sqrt(1 + sin x) + sqrt(1 - sin x))/(sqrt(1 + sin x) - sqrt(1 - sin x))) = (x)/(2), x in (0, (pi)/(4))

Prove that cot^(-1) ((sqrt(1 + sin x) + sqrt(1 - sin x))/(sqrt(1 + sin x) - sqrt(1 - sin x))) = (x)/(2), x in (0, (pi)/(4))

Prove that : cot^-1[(sqrt(1+sin x) + sqrt(1-sin x))/(sqrt1+sin x + sqrt(1-sin x))] = x/2, x in (0, pi/4)

Differentiate w.r.t x : cot^-1{(sqrt (1+sin x) + sqrt (1-sin x))/(sqrt (1+sin x) - sqrt (1-sin x))}, 0 < x < pi/2

Differentiate w.r.t x : tan^-1{(sqrt (1+sin x) + sqrt (1-sin x))/(sqrt (1+sin x) - sqrt (1-sin x))}, 0 < x < pi/2