Question

Compute (x^3)(e^-3x)dx on interval [0,2]

Answer 1

is this integration?

Answer 2

\[\int\limits_{0}^{2}x ^{3}e ^{-3x}dx\]

Answer 3

use integration by parts

Answer 4

Youd have to use integration by parts 3 seperate times correct?

Answer 5

seems like it

Answer 6

whats derivative of -e^-2x?
-1/2e^x?

Answer 7

or 1/2e^-x

Answer 8

antiderivative*

Answer 9

since you're doing IBP repeatedly, you might want to consider the tabular method...
http://www.math.washington.edu/~hubenjm/tabular.pdf