Asked by Dean
                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)).
            
            
        Answers
                    Answered by
            Ms. Sue
            
    Camryn/Kira/Dean -- please use the same name for your posts.
    
                    Answered by
            Steve
            
    That antiderivative is not expressible in elementary functions. It is an elliptic integral.
    
                    Answered by
            Dean
            
    Ok but then how would I solve this problem? 
    
                    Answered by
            Steve
            
    you'd have to use some numeric integration technique to get an approximation.
    
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