# Fredholm integral equation of the first kind

Can we solve the following specific integral equation: $$\int_0^1v^n(1-v)^{x-1}K(v)dv=f(x) ,x\in[0,1)$$ If it is solvable, I wonder whether its solution can be represented in a closed form.

• Solve for what? – doraemonpaul May 11 '13 at 21:15