calculus

Find the length of the curve given by the equation y= intergral from -pi to x of sqrt(cos(t)) dt for x between -pi and pi. I think I know to do this- at least part of it. I am using the fundamental theorem of calculus and the arc length formula, but I don't know how to find the anti derivative of sqrt(cos(t)).

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  1. Camryn/Kira/Dean -- please use the same name for your posts.

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    👩‍🏫
    Ms. Sue
  2. That antiderivative is not expressible in elementary functions. It is an elliptic integral.

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  3. Ok but then how would I solve this problem?

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  4. you'd have to use some numeric integration technique to get an approximation.

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