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

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

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

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

int_0^(pi/4)sectheta d theta =

find int_0^pisectheta d theta

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

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

Let f beintegrable over [0,a] for any real value of a . If I_(1)=int_(0)^(pi//2)cos theta f(sin theta +cos^(2) theta) d theta and I_(2)=int_(0)^(pi//2) sin 2 theta f(sin theta+cos^(2) theta) d theta , then