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Simple integration Q

  • Thread starter phospho
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  • #1
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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?
 

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  • #2
tiny-tim
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hi phospho! :smile:
I can see by observation that 0, pi/2, -pi/2 work but is there a method to find these instead of observation?
sorry, not without a computer or special tables :redface:

but what's wrong with observation? :wink:
 
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