Nature laughs at the difficulties of integration.

Pierre-Simon de Laplace

sections:

      8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7, and 8.8

This chapter expands on the analytic techniques of evaluating integrals.

objectives:

• review the basic integation rules
• transform integrals into one of the basic types
• utilize substitution to solve integrals
• develop ans use integration by parts
• solve integrals involving powers of trigonometric functions
• determine when and how to use trigonometric substitution
• present partial fractions
• evaluate integrals using a table of integrals
• utilize a reduction formula
• recognize limits that produce an indeterminate form
• apply L'Hôpital's Rule to evaluate limits
• discuss improper integrals
• evaluate integrals with an infinite limit
• determine convergence or divergence of an improper integral
• evaluate integrals with an infinite discontinity