Mathematics

Problem

The equation

\int_{-\pi/4}^{\pi/4} \left\{ a|\sin x| + \frac{b \sin x}{1 + \cos^2 x} + c \right\} dx = 0

, where

a, b, c

are constants gives a relation between a.

a, b

and

c

a

and

c

a

and

b

b

and

c