Question

Problema integrala definita

Answer 1

$\displaystyle \limit \int_0^1 (x\cdot f(x)+F(x))dx=\int_0^1 (F(x)\cdot x)' dx =F(x)\cdot x |_0^1 = F(1)\cdot 1-F(0)\cdot 0\\=\boxed{F(1)}$