Problem:
Evaluate the following integral:


NOTE: On this page, the exponential function f(x) = ex is denoted by f(x) = exp(x).


Solution:
Click the left mouse button on each of the following equations (in blue):
  1. Let
    and let

  2. Hence,
    and let

  3. Using the formula for integration by parts

    we get

  4. Now we can use integration by parts again to compute the following integral

  5. Let
    and let

  6. Hence,
    and let

  7. Again, using integration by parts, we get

  8. 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.