I was solving differential equation

$x\mathrm{cos}x\frac{dy}{dx}+y(x\mathrm{sin}x+\mathrm{cos}x)=1$

which on dividing by $x\mathrm{cos}x$ becomes FOLD(first order linear differential) equation.

But I am stuck at following integral. Can anyone help solve this integral? An alternate approach to the problem is also welcome.

$\int \frac{{e}^{\mathrm{cos}x}}{\mathrm{cos}x}dx$

$x\mathrm{cos}x\frac{dy}{dx}+y(x\mathrm{sin}x+\mathrm{cos}x)=1$

which on dividing by $x\mathrm{cos}x$ becomes FOLD(first order linear differential) equation.

But I am stuck at following integral. Can anyone help solve this integral? An alternate approach to the problem is also welcome.

$\int \frac{{e}^{\mathrm{cos}x}}{\mathrm{cos}x}dx$