`int_0^(pi/4) log(sin 2theta) d theta = - (pi/4) log(1/2)`

int_(0)^((pi)/(4))log(sin2 theta)d theta=-((pi)/(4))log((1)/(2))

5. int_0^(pi/4)sec^2theta d theta

STATEMENT 1: int_(0)^((pi)/(4))log(1+tan theta)d theta=(pi)/(8)log2 STATEMENT 2:int_(0)^((pi)/(2))log sin theta d theta=-pi log2

STATEMENT 1: int_0^(pi/4)log(1+t a ntheta)d theta=pi/8log2. STATEMENT 2: int_0^(pi/2)logsin theta d theta =-pilog2.

int_(0)^(10)log(1+cot theta)d theta=(pi)/(8)log2

The value of int_(0)^(pi//4) log (1+ tan theta ) d theta is equal to

The value of int_(0)^(pi//4) log (1+ tan theta ) d theta is equal to

If int_0^(pi/2) sintheta log sintheta d theta =log (A/(198e) then the last digit of A is equal to

Show that int_(0)^(pi//4) sqrt(tan theta) d theta = (1)/(sqrt(2)) log(sqrt(2)-1)+(pi)/(2sqrt(2))