Elementary Method
Yielding Elementary functions when integrated?
Is there any method to tell that the integrand(like sin(x^2) )cannot be integrated to yield elementary functions in closed form (like sin,cos,log x^n etc.) ?
Eg. sin(x^2) dx gives
Sqrt[pi/2] Fresnel[Sqrt[pi/2] x] where Frensel is not elementary
but 2x(cos(x^2)) dx is sin(x^2) although it looks more complicated.
Best I can do, I'm not sure what the exact question is.
Elementary Methods of Nonsymbolic Proof
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