Most techniques involving complex functions are designed to replace complex parts of the function with simpler expressions that can be solved by using the 'standard' rules of integration. In some cases, multiple approaches need to be used. This examples illustrates how Integration by Parts can be combined with the Substitution of Variables approach to evaluate a complex function:
arctan x d x
Combining Integration by Parts with Substitution
Show sender reference
Log in to my Electric Book site.

Electric Book-Link (e-Blink) URL:

The URL listed above can be inserted into your postings or e-mails; it will point to the text or area of the graph that you have selected.
To insert the link:

  • Drag your mouse across any text in the green problem area, or
  • Drag your mouse to form a selection box on the green graph area
  • Open the e-Blink tab to display this tab.
  • Copy the text above to your clipboard
  • When editing a note to your community or editing your e-mail, select some text and press the link button.
  • Paste your link into the text box for the URL.