Antiderivatives & Indefinite Integrals Lesson Notes (Calculus 2 AP BC)

This Integral Calculus lecture (pdf file) introduces the students to the concepts of antiderivatives and indefinite integrals.

The following subtopics are included:

• List of derivatives which the students need to know before beginning the lecture.
• Definition of the antiderivative
• Graphical reasoning for adding a constant C to an antiderivative to obtain the most general antiderivative
• Definition of the indefinite integral
• Application in rectilinear motion (find the position function given the acceleration function)
• List of antiderivatives which the students should know going forward.

Many examples are interspersed throughout.

For a scaffolded version together the filled in version of these notes, click here.

Typed in LaTeX for a beautiful and professional look.

You may also be interested in the following worksheets, which complement these lecture notes:

• Power Rule Backwards Worksheet: 24 Questions + Answers
• Indefinite Integrals Worksheet: 20 Questions + Answers (no major technique of integration required to solve, except the power rule backwards and the derivatives of common functions)