Question

Find the indefinite integral: ∫ x^(2)e^(x) dx...

Answer 1

=x^2∫ e^x -∫ (∫ e^x) d/dx x^2
=x^2 e^x - 2 ∫ e^x * x
=x^2 e^x - 2 [ x∫ e^x - ∫∫e^x d/dx x]
=x^2 e^x - 2 [ x e^x - ∫e^x]
x^2 e^x - 2 x e^x + 2e^x +Constant