`int_0^(pi/2)cos^4theta d theta`

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

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

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

Find: int_0^(pi/2)sin^3theta 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.

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

int_0^(pi/4)sectheta d theta =

int_(0)^( pi/2)cos^(9)theta d theta

int_(0)^( pi/2)cos^(9)theta d theta