• Use the Log Rule for Integration to integrate a rational function.
  • Integrate trigonometric functions.

Assignment

  • Vocabulary and teal boxes
  • pp353 1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 43, 44, 47–49, 53, 55, 58, 68, 70, 71–77 odd 81, 92, 94, 104–107

Additional Resources

Despite the section’s length, it doesn’t cover anything that’s really new. Instead, it combines the logarithm rule (below) with integration by substitution.

\[\int \frac{1}{x} \, dx = \ln|x| + C\]

or the more useful version

\[\int \frac{u'}{u} \, du= \ln|u| + C\]

There are a myriad of examples in the book, which aren’t worth repeating here, so I won’t.