Section Number:
8.1 / Topics: Basic Integration Rules / Day: 1 of 1
In this chapter, we will study several integration techniques that greatly expand the set of integrals to which the basic rules can be applied.
Fitting Integrands to Basic Integration Rules
A major step in solving an integration problem is to recognize which basic integration rule to use.
Example 1: A Comparison of Three Similar Integrals.
Evaluate each integral.
a. . b. c.
Example 2: Using Two Basic Rules to Solve a Single Integral.
Evaluate .
Example 3: A Substitution Involving a2 -- u2.
Evaluate .
Example 4: A Disguised Form of the Log Rule. Example 5: A Disguised Form of the Power Rule.
Evaluate . Evaluate .
Example 6: Using Trigonometric Identities.
Evaluate .