anonymous
  • anonymous
How do I integrate this?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1326789570521:dw|
ash2326
  • ash2326
could you draw the diagram again, it's not clear
anonymous
  • anonymous
\[\int\limits \cos(\frac{1}{1+\cos(x)})dx\]

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anonymous
  • anonymous
Off the top of my head, I'd say that is transcendental and has no elementary antiderivative. Wolfram|Alpha backs me up on that.
anonymous
  • anonymous
|dw:1326789627857:dw|
anonymous
  • anonymous
|dw:1326790075583:dw|
anonymous
  • anonymous
Perhaps just a rough area approximation near pi based on the width of the slice, something like the Taylor expansion around zero of the function given by: \[F(\epsilon)=\int\limits_{\pi-\epsilon}^{\pi} \cos(\frac{1}{1+\cos(t)})dt\]

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