CEGEP Calculus II The Definite Integral and the Fundamental Theorem — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 3 definitions and 4 theorems, 5 worked examples, in 8 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.
The Definite Integral and the Fundamental Theorem — what the notes cover
4 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.
Riemann sums
- Definition — A regular partition and its Riemann sum
Also in this section: 1 worked example, 1 note on method and common errors.
The definite integral
- Definition — The definite integral
- Theorem — Properties
Also in this section: 1 worked example, 1 note on method and common errors.
The Fundamental Theorem
- Theorem — Part One
- Theorem — Part Two
Also in this section: 2 worked examples, 2 notes on method and common errors.
Average value and the Mean Value Theorem for integrals
- Definition — Average value
- Theorem — The Mean Value Theorem for integrals
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 The Definite Integral and the Fundamental Theorem 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.
The Definite Integral and the Fundamental Theorem practice worksheet About the The Definite Integral and the Fundamental Theorem unit test