find `int_0^pisectheta d theta`

int_0^(pi/4)sectheta d theta =

6) int_0^(pi/4)sec^4theta d theta

6) int_0^(pi/4)sec^4theta d theta

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

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

If int_0^(pi/2)logsinthetad theta=k , then find the value of int_0^(pi/2)(theta/(sintheta))^2d theta in terms of k

If int_0^(pi/2)logsinthetad(theta)=k , then find the value of int_0^(pi/2)(theta/(sintheta))^2d(theta) in terms of k

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^(pi/2) d theta

The value of I(n) =int_0^pi(sin ^2n theta)/(sin^2theta) d theta is (AA n in N)