Definite integral $\int_0^1 \frac{\cos( \pi n x)}{\sqrt{c^2+x^2}} dx$

Question

does anyone have a reference or solution for this integral?

$$\int_0^1 \frac{\cos(\pi n x)}{\sqrt{c^2+x^2}} dx$$

$n$ is an integer and $c$ a real number. I tried some tables of integrals and also Mathematica, but I didn't find an answer.