$\displaystyle \int_{0}^{^{X}}(x-t)y(t)=2x+\int_{0}^{^{X}}y(t)$

iknow that i should differentiate by x

$\displaystyle \frac{d\int_{0}^{^{X}}(x-t)y(t)}{dx}=\frac{2x+\int_{0}^{^{X}}y(t)}{dx}$

but i dont know if it the correct way.

i know that differentiation cancels integration but here i have intervals with variables on the integrals

and i dont know what is y(x)