Can anyone help me to solve this integral problem:
$$\int \sin (x^2)\,\mathrm dx$$
I have tried every method that I know, but still can't get any completion.
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5It is the non-elementary Fresnel Integral $S(x)$ – Rhys Hughes May 26 '21 at 01:21
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3In other words, when there's no simple form, name it! – Lee Mosher May 26 '21 at 01:34
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My blind guess, based solely on the idea that $\int e^{(x^2)}dx$ is know to be non-elementary is that this problem is also non-elementary. – user2661923 May 26 '21 at 01:36