Class 5 Agenda

Class Info

• Date: Thurs, February 9
• Meeting Info: 10a-11:40a, N703

Topics

• Fundamental Theorem of Calculus (cont’d)
  • 3blue1brown video
• 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