# Minimising an expression in the form of an integral

Consider a quadratic $$f(x)=ax^2+bx+c$$ with unknown .What values of $$a,b,c$$ will minimise the integral $$\int_0^1(f(x)-\frac{1}{1+x})^2?$$ How do I write in Mathematatica?Can Mathematica solve it exactly?Any \help \hint will be greatly appreciated.

Minimize[

• Add // Simplify and the result is cleaner. Oct 5 at 16:06