Math 122: Chapter 5 Exam Study Guide

1. Find the derivative. 18 parts.
2. Find the integral. 18 parts.

Notes

• Problems are simliar to the book and those covered in class.
• You may bring in a piece of paper with derivatives and integrals involving inverse hyperbolic trigonometric functions. These are essentially the formulas from the derivative section of Theorem 5.20 on page 396. You will need the integrals from this theorem as well, but do not use the logarithmic form that is given in the book. Instead rewrite them using inverse hyperbolic trig functions.
• You are expected to know the derivatives and integrals for the inverse trigonometric and may not include those on your notesheet. You are also expected to know the derivatives and basic integrals of the hyperbolic trigonometric functions.
• When a problem on the exam can be solved using the notesheet, please use the formula without trying to derive it. You may need to make some u-substitutions to get it into the proper form before the formula applies.

Points per problem

 # Pts 1 2 Total 54 54 108