Mathematics 134 -- Intensive Calculus for Science 2

Quiz 3

February 6, 2002

The third regular quiz of the semester will be given during the first 20 minutes of class on Friday, February 8. It will cover the material on the substitution method for indefinite and definite integrals from section 7.1 that we have discussed this week. No calculators on this quiz. You should know:

• The ``six basic integration rules'' (the rules for powers, exponentials, sin, cos, and the inverse trig integrals). MEMORIZE THESE NOW, and have them permanently at your fingertips; you will need to use them for many of the topics we will do for the rest of the semester.
• How to use a u substitution to take a given integral to one of those forms and compute it -- identifying the u, computing du, adjusting constants as necessary to match the terms in the given integral, applying one of the basic rules, resubstituting to express the answer in terms of the original variable.
• How to use substitution for definite integrals -- convert the given limits of integration to the equivalent u-values using the substitution formula, and apply the FTC to the integral expressed in terms of u.

On the quiz, there will be three integrals similar to problems from this week's problem assignment.

Good Review Problems