Evaluate the Integral. Show All Steps

Question

Evaluate the Integral. Show All Steps. If possible attach a video going through the problem.

Answer 1

integral of e^-x/2(x^3/3 +2x^2 +1)dx

= [-2(x^3 +12x^2 +48x +99)e^-(x/2)]/3 + C

apply linearity, integration by parts, 3 times

exponential rule, undo u sub

plug integrals in