The function `d/(d theta)int_0^theta (dx)/(1-costhetacosx)` satisfies

The function (d)/(d theta)int_(0)^( theta)(dx)/(1-cos theta cos x) satisfies

The function f(theta)=d/(d(theta))int_0^theta(dx)/(1-costhetacosx) satisfies the differential equation

The function f(theta)=d/(d(theta))int_0^theta(dx)/(1-costhetacosx) satisfies the differential equation

The function f(theta)=d/(d(theta))int_0^theta(dx)/(1-costhetacosx) satisfies the differential equation

The function f(theta)=(d)/(d(theta))int_(0)^( theta)(dx)/(1-cos theta cos x) satisfies the differential equation

The function f(theta)=(d)/(d theta)int_(0)^( theta)(d theta)/((1-cos2 theta)(1+cos2 theta)) satisfies the differential equation.

int_0^(pi/4)sectheta d theta =

f(theta)=int_0^1 (x+sin theta)^2 dx

int_0 2pi |sin3theta| d theta