Class Info
- Date: Thurs, February 9
- Meeting Info: 10a-11:40a, N703
Topics
- Fundamental Theorem of Calculus (cont’d)
- Integration by Substitution (cont’d)
- find antiderivatives by “reverse chain rule”
- See Sec 1.5: https://openstax.org/books/calculus-volume-2/pages/1-5-substitution
- strategy: look for a function u = g(x) that will simplify the integral and such that its derivative (du = g'(x) dx) is also inside the given integral
- WebWork: “Integration – Substitution“
- Integrals Involving Exponential and Logarithmic Functions
- See Sec 1.6: https://openstax.org/books/calculus-volume-2/pages/1-6-integrals-involving-exponential-and-logarithmic-functions
- Combine techniques we have for finding antiderivatives (power rule, substitution) with known derivatives/antiderivatives involving exponential and logarithmic function
To-Do After Class
- Continue working on the following WebWork sets:
- “Review – Chain Rule” (due tonight) & “Integration – Definite Integral” (due tomorrow)
- “Integration – Fundamental Theorem constant bounds” (due Tues Feb 14)
- work ahead on “Review – Product Rule”, “Integration – Substitution”, “Integration – Exponential and Logarithmic”
- Note: we will have our first quiz in class on Tuesday (Feb 14) — the quiz will consist of a couple exercises regarding basic antiderivatives and definite integrals
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