Math 142 – Quiz #5 Information
Reminder: (1) You can (and should) bring a copy of the table of integrals as found on the
tear-out pages in the back of your book. If you don’t have a copy, you should get a copy
from someone. (2) You can (and should) bring a calculator since you will need to evaluate
the integrals and come up with an answer.
•The quiz covers the material from sections 6.5 - 6.7. You should be able to evaluate
any given integral.
•Read each question carefully and follow the directions. Show all your work (all the
work requested).
•There will be a selection of problems like those in sections 6.5-6.7. I will give you the
basic relationship, e.g. Work = Force ×Distance, and the basic constants. Of the
N+ 1 problems given, you’ll need to completely do Nof them.
•A completely done problem will have three parts:
1. Approximate the answer by dividing the appropriate part into pieces where the
values of the elements in the basic relationship are constant, working out the value
of one piece, and then adding them up.
2. Expressing the answer as an integral (as a limit of the approximation).
3. Evaluating the integral to get an answer.
You should draw pictures or diagrams as needed. Units will matter.
•To prepare for this exam go through the examples in each section, working the problem
in the format given above. You can also use examples we did in class and the homework
and review section exercises. Focus on how the problem was broken down and the basic
formula was used, rather than on just memorizing the integral formula.