Question

Evaluate the following by parts.

∫(5x^3 e^4x )dx

Answer 1

\[∫(5x^3 e^4x )dx \]

Answer 2

needs to be evaluated in parts.

Answer 3

i know it is
\[\int(5x^3e^{4x})dx\]

Answer 4

part

Answer 5

repeatedly unfortunately because you are going to have to reduce the cube one step at a time

Answer 6

one sec will post an example given by teacher

Answer 7

i can show you or you can just look at the steps here
http://www.wolframalpha.com/input/?i=int+x^3e^%284x%29dx

Answer 8

here is an attachment

Answer 9

but the idea is that you are going to have to integrate by parts three times, each time reducing the power by one of the x cubed terms

Answer 10

i like that! that is the snap way to do it, and it is featured in that movie "stand and deliver"