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

A function f(theta)=sin^(2)theta+3sin theta cos theta+5cos^(2)theta is defined AA theta in R . Another function g(theta)=f((pi)/(2)-theta) at the point theta where f(theta) is minimum, then thevalue of (1)/(g(theta)) is

int_0^(pi/4)sectheta d theta =

The range of the function f (theta) =(sin theta)/( theta ) + (theta)/(tan theta) , theta in (0, (pi)/(2)) is equal to :

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

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

int_0^(pi/2) d theta

Evaluate: int(1+costheta)/(theta+sintheta)d theta

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

int (d theta)/((sin theta - 2 cos theta)(2 sin theta + cos theta))

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