`int_0^(pi/2) d theta`

int_0^(pi//2)(theta/sintheta)^2d 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

Evaluate: int_0^(pi//2)(costheta)/((1+sintheta)(2+sintheta)) d theta

Evaluate the following integral: int_0^(pi//2)(sintheta)/(sqrt(1+costheta))d theta

L e t \ f(n)=1+1/2+1/3+...+1/n . Then show that f(n)=int_0^(pi/2)cot(theta/2)(1-cos^ntheta)d theta

Iflambda=int_0^(pi/2)costhetaf(sintheta+cos^2theta)dtheta a n dI_2=int_0^(pi//2)sin2thetaf(sintheta+cos^2theta)dtheta,t h e n I_1=-2I_2 (b) I_1=I_2 2I_1=I_2 (d) I_1=-I_2

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

int_0^(pi/4)sectheta d theta =

int_0^(pi/4) (2sinthetacostheta)/(sin^4theta+cos^4theta)d theta