" (iii) "log tan(x)/(2)

What is int_(0)^(pi) log (tan""(x)/(2)) dx equal to?

int(1)/(cos x+sqrt(3)sin x)dx equals ( i )log(tan((x)/(2)+(pi)/(12)))+c( (ii) log(tan((x)/(2)-(pi)/(12)))+c( iii) (1)/(2)*log(tan((x)/(2)+(pi)/(12)))+c( iv )(1)/(2)*log(tan((x)/(2)-(pi)/(12)))+c

If f(x)= log("tan"(x)/(2)) , then prove that, f'(x)="cosec"x .,

int(cosec x)/(cos^(2)(1+"log tan"(x)/(2)))dx=

Differentiate each of the following w.r.t. x. "log tan"(x)/(2)

(cosec x)/(log ("tan"(x)/(2)))

If intcos x log (tan""(x)/(2))dx=sin x log (tan""(x)/(2))+f(x) then f(x) is equal to, (assuming c is an arbitrary real constant)

If int cos x log (tan""(x)/(2))dx = sin x log (tan""(x)/(2)) + f(x) then f(x) is equal to, (assuming c is a arbitrary real constant)