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Different normalizations are done for the Fresnel integrals. One normalization is

$$\begin{align*} S(x)&=\int_0^x \sin(t^2)\,\mathrm dt \\ C(x)&=\int_0^x \cos(t^2)\,\mathrm dt \end{align*}$$

and a different normalization is

$$\begin{align*} S(x)&=\int_0^x \sin\frac{\pi t^2}{2}\mathrm dt \\ C(x)&=\int_0^x \cos\frac{\pi t^2}{2}\mathrm dt \end{align*}$$

Check your reference to see which normalization is being used.

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