log lom((pi)/(4)+(x)/(2))

Differentiate log tan((pi)/(4)+(x)/(2)) with respect to x:

Differentiate log{cot((pi)/(4)+(x)/(2))} with respect to x:

(d)/(dx)(log tan((pi)/(4)+(x)/(2)))=

(d)/(dx)(log tan((pi)/(4)+(x)/(2)))=

Prove that int_(0)^(1) log(sqrt(1-x)+sqrt(1+x))dx = (1)/(2) log 2 + (pi)/(4) - (1)/(2)

The value of sqrt(2)int(sin xdx)/(sin(x-(pi)/(4))) is: (1)x+log|cos(x-(pi)/(4))|+c(2)x-log|sin(x-(pi)/(4))|+c(2)x+log|sin(x-(pi)/(4))|+c(3)x-log|cos(x-(pi)/(4))|+c

Which of the following is/are correct? (tan x)^(In(cos x))<(cot x)^(ln(cos x))AA x in((pi)/(4),(pi)/(2))

int_((pi)/(4))^((pi)/(2))e^(x)(log sin x+cot x)dx