Problem:
Evaluate the following integral:
NOTE: On this page, the exponential function
f(x) = e
^{x}
is denoted by
f(x) = exp(x)
.
Solution:
Let
and let
Hence,
and let
Using the formula for integration by parts
we get
Now we can use integration by parts again to compute the following integral
Let
and let
Hence,
and let
Finally we get
We can now use the above result to finish solving the problem:
This page and the javascript used on this page was originally written by Marek Szapiel.