### Test 1 Study Guide: 7.1, 7.2, 7.4, 7.5, and 7.6 and related material from prior classes

It is time for our first test in order to be sure that everyone reviews and understand some of the fundamental concepts.

### At the Test

• NO calculators will be allowed.
• I'll bring scratch paper. Ask me if you need more.
• I will staple a copy of Algebra, Geometry, Trigonometry and Derivative Review to your test.
• In addition, you may make yourself reference notes on the small card I hand out (additional cards are on my door if you need to rewrite it). The reference card must be handwritten. Think of the card as a way to include some important examples or concepts that you aren't as comfortable with. You won't have room for everything, and you should try to internalize as much as you can.
• You may have out food, hydration, ear plugs, or similar if they will help you (however any ear plugs must be stand alone--no cell phone, internet or other technological connections)
• There will be two types of questions on the test (see below) that most of the questions will fall under, and your grade will be based on the quality of your responses in a timed environment. All tests must be turned in when class ends.

### Topics to Study

• This test will cover sections 7.1, 7.2, 7.4, 7.5, and 7.6 and related material from prior classes.
• class review
• Integrals will be very similar (or the same!) as those you have seen before from class notes, homework, quizzes, group work, and clicker questions. These include integrals from calc 1 such as the FTC on a known derivative, and splitting up a numerator into its sums... The methods from calc 2 are substitution, parts, partial fractions, trig sub, numerical, and improper integrals:
• substitution slides and clickers, and solutions to group target practice
• parts slides and clickers, and solutions to group target practice
• partial fractions slides and clickers, and solutions to group target practice
• trigonometric substitution slides and clickers, primer, and solutions to group target practice
• improper integrals slides and clickers, group target practice, solutions to group target practice
• numerical integration slides and clicker, and group target practice, solutions to group target practice, sample questions
• Solutions to part 2 of Wiley practice are on ASULearn and I'll post WileyPlus Online Test 1 Practice Problems (optional) including some new problems plus problems you have seen before, with solutions and answers available there.

• algebra missteps
• Algebra, Geometry, Trigonometry and Derivative Review (a copy will be stapled to your test)
• Class highlights page which shows our day-to-day activities
• Review class notes, homework, quizzes, group work and clicker questions

### Test Instructions

1. Show work for partial credit. For each integral below, match the integral to the technique you would use to compute the antiderivative and set up the resulting transformed integral. Do NOT evaluate the integral. List the Technique and what I want you to show me
w-Sub: w, dw, and the integral with respect to w
parts: u, u', v, v', uv - integral of u'v
partial fractions: expansion, system of equations to solve for A, B, C...
trig sub: triangle pic, x & dx, integral with respect to theta reduced
improper integral: limit integral set up
2. Evaluate the following integrals and show work and/or reasoning. Write your final response on the line.
• sample questions