" (iv) "sin x sqrt(1-cos2x)

int sin x sqrt(1-cos2x)dx

int sin x sqrt(1-cos2x)dx

If x=30o, verify that : tan2x=(2tan x)/(1-tan^(2)x) (ii) sin x=sqrt((1-cos2x)/(2))

int sin x sqrt(1+cos2x)dx

Evaluate the following integrals. int sin x sqrt( 1 - cos 2x)dx

Evaluate the following integrals. int sin x sqrt( 1 - cos 2x)dx

Evaluate the following integrals. int sin x sqrt( 1 - cos 2x)dx

Diseuss the continuity of the function : {:(f(x)=(sin 2x)/(sqrt(1-cos2x)),",for"0ltx le(pi)/(2)),(=(cosx)/(pi-2x),",for" (pi)/(2)ltx ltpi):}}at x=(pi)/(2)*

int_(0)^((pi)/(2))(cos^(2) x sin x)/(sqrt(1+cos^(2)x))dx

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