Fresnel Integrals

[Helge Gabert]

I recently ran across this indefinite integral (in CAS),

int(x^2*sin(x^2),x)

which, just like int(sin(x^2),x), the Prime was unable to resolve.

   

Here is the Wolfram alpha link

http://www.wolframalpha.com/input/?i=int...n(x%5E2)dx

Since Fresnel integrals C(z) and S(z) do sometimes pop up in real world applications, it would be nice if the HP Prime development team would consider adding FresnelC and and FresnelS to the list of known functions (similar to Ci(x) and Si(x)), especially since they can be numerically evaluated quite easily through the error function erf(x).

Maybe worth a try for the next firmware update (or the one after that)?