Is it possible to calculate the following definite integral in a closed form?
$$ \int_0^\infty \left| \sin x \cdot \sin (\pi x) \right| e^{-x} \, dx$$
Is it possible to calculate the following definite integral in a closed form?
$$ \int_0^\infty \left| \sin x \cdot \sin (\pi x) \right| e^{-x} \, dx$$