# Simple integration Q

1. Sep 21, 2013

### phospho

Calculate the are of the finite region enclosed by the curves $y = \dfrac{2|x|}{\pi}$ and $y = sin(x)$

I understand that the integral is $sin(x) - \dfrac{2x}{\pi}$ however I'm having troubles finding where they intersect, I can only find x= 0, how do I solve $sin(x) = \dfrac{2x}{\pi}$ ? I can see by observation that 0, pi/2, -pi/2 work but is there a method to find these instead of observation?

2. Sep 21, 2013

### tiny-tim

hi phospho!
sorry, not without a computer or special tables

but what's wrong with observation?