Fresnel Integrals
Let $x$ be a positive real number, this calculator evaluates the Fresnel integrals $C(x)$ and $S(x)$: \[\begin{array}{l}\displaystyle C(x)=\int_0^x \cos\left(\frac{\pi}{2}t^2\right)\;dt \\ \displaystyle S(x)=\int_0^x \sin\left(\frac{\pi}{2}t^2\right)\;dt \end{array} \]