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Simple integration Q

  1. Sep 21, 2013 #1
    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. jcsd
  3. Sep 21, 2013 #2

    tiny-tim

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

    but what's wrong with observation? :wink:
     
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