First we integrate the corresponding indefinite integral using integration by parts. We find that Since *xe*^{x} – *e*^{x} + *C*
is the family of all antiderivatives of *xe*^{x}, we can get one particular antiderivative by taking *C* = 0. Then we can use the resulting antiderivative *xe*^{x} – *e*^{x}
in the FTC. |