Standard 2: Integral of 1/x
Objective: Upon completion of this lesson, students should be able to:
Lesson Questions:
Lesson Notes: 5.2 Notes
Lesson Videos: 5.2 Video
Homework Practice: p. 338# 1-41 odd, 47-51 odd, 61, 63, 67, 69, 71, 87, 91
Standards Met: In compliance with derivative studies based on the AP Collegeboard AP Calculus AB Syllabus.
Objective: Upon completion of this lesson, students should be able to:
- Know how to integrate 1/x and apply all integration concepts to it (i.e. general solution, particular solution, average value, indefinite integral, definite integral, first/second fundamental theorems, net change, total change, etc.)
- Know how to integrate all six trig functions and apply all integration concepts to them.
Lesson Questions:
- What is the integral of 1/x and why can't you use a simple power property?
- What are the integrals of all six trig functions and why did you need to know the integral of 1/x before learning them?
Lesson Notes: 5.2 Notes
Lesson Videos: 5.2 Video
Homework Practice: p. 338# 1-41 odd, 47-51 odd, 61, 63, 67, 69, 71, 87, 91
Standards Met: In compliance with derivative studies based on the AP Collegeboard AP Calculus AB Syllabus.