Topics for 2
For this midterm, we have topics coming from three different chapters.
The midterm will cover Sections
5.8, 6.1 – 6.4, and 7.1 – 7.3.
Sections 5.8, 7.1, 7.2, and 7.3 provide us with techniques to find integrals and
Chapter 6 provides a few applications of the integral.
5.8 - Inverse Trigonometric Functions
5.8 - Integrals of Exponential Functions
7.1 - Integration by Parts
7.2 - Trigonometric Integrals
7.3 - Trigonometric Substitution
6.1 - Area Between Two Curves
6.2 - Volume of a Solid
6.2 - Average Value of a Function
6.2 - Mean Value Theorem of Integrals
6.2 - Total Population, Total Mass, Laminar Flow
6.3 - Volumes of Revolution – Disks and Washers
6.4 - Volumes of Revolution – Shells/Tubes
Remember that when trying to decide what method to use when solving an integral start with methods
that are simpler and then move down the ladder see what might work.
The order of preference is the
order they are taught – moving from basic anti-derivative formulas to Substitution to Integration by Parts.
Many integrals can be solved using more than one method.
In this case you are free to choose whatever
method feels most comfortable to you.