CEGEP Calculus II Antiderivatives and the Indefinite Integral — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 1 definition and 3 theorems, 6 worked examples, in 9 printable pages. This page lists what the notes cover. The notes themselves come with the CEGEP Calculus II bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Antiderivatives and the Indefinite Integral — what the notes cover
6 sections, in the order the unit is taught. Each entry below is the title of a definition or a theorem the notes state in full.
What you need
Also in this section: 1 note on method and common errors.
Antiderivatives and the constant
- Definition — Antiderivative
- Theorem — All antiderivatives differ by a constant
Also in this section: 1 worked example, 1 note on method and common errors.
The basic formulas
- Theorem — The standard antiderivatives
Also in this section: 1 worked example, 2 notes on method and common errors.
Integration by substitution
- Theorem — Substitution
Also in this section: 2 worked examples, 1 note on method and common errors.
Exponential and trigonometric integrands
Also in this section: 1 worked example, 1 note on method and common errors.
Recovering a function from its rate of change
Also in this section: 1 worked example, 1 note on method and common errors.
Where the notes are
The notes are one of the documents in the CEGEP Calculus II Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Antiderivatives and the Indefinite Integral practice worksheet is free and stays free.
Every CEGEP Calculus II topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 8 CEGEP Calculus II units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — these notes included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions
Practise it, then test yourself
Notes on their own do not make anything stick. This unit has a free, printable practice worksheet, and an end-of-unit test that comes with the bundle.
Antiderivatives and the Indefinite Integral practice worksheet About the Antiderivatives and the Indefinite Integral unit test