Chapter Five: The Definite Integral
What Chapter Five Covers:
1. Estimating with Finite Sums: MRAM, LRAM, MRAM
2. Definite Integrals: Reimann Sums, Integral Notation, Estimative Integrals with Areas
3. Deinite Integrals and Antiderivatives: Mean Value Theorem, Properties of Integrals
4. Fundamental Theorem of Calculus: FTC part I and FTC part II
5. Trapezoidal Rule: Trapezoidal Rule for Approximating Areas Under Curves
1. Estimating with Finite Sums: MRAM, LRAM, MRAM
2. Definite Integrals: Reimann Sums, Integral Notation, Estimative Integrals with Areas
3. Deinite Integrals and Antiderivatives: Mean Value Theorem, Properties of Integrals
4. Fundamental Theorem of Calculus: FTC part I and FTC part II
5. Trapezoidal Rule: Trapezoidal Rule for Approximating Areas Under Curves
calculus_cheat_sheet_integrals_reduced1.pdf | |
File Size: | 183 kb |
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Tutorials
An extensive collection of calculus topics explored in numerous vides may be found at:
http://patrickjmt.com/#calculus
Numerous tutorials on all things integration may be found at:
http://archives.math.utk.edu/visual.calculus/4/index.html *Note: Flash/Java Required for portions of this site
Various problems with solutions (10 per topic) on various calculus topics may be found at:
http://www.math.ucdavis.edu/~kouba/ProblemsList.html
A team of mathematicians that solve various problems (and show their work/rationale) in pre-calculus and calculus may be found at:
http://www.mathtv.com/videos_by_topic# Note: Use menu on left to find topic of interest!
Numerous videos on various topics of calculus may be found at:
http://www.brightstorm.com/math/calculus/ Note: you'll have to put up with short advertisments that run before each video!
http://patrickjmt.com/#calculus
Numerous tutorials on all things integration may be found at:
http://archives.math.utk.edu/visual.calculus/4/index.html *Note: Flash/Java Required for portions of this site
Various problems with solutions (10 per topic) on various calculus topics may be found at:
http://www.math.ucdavis.edu/~kouba/ProblemsList.html
A team of mathematicians that solve various problems (and show their work/rationale) in pre-calculus and calculus may be found at:
http://www.mathtv.com/videos_by_topic# Note: Use menu on left to find topic of interest!
Numerous videos on various topics of calculus may be found at:
http://www.brightstorm.com/math/calculus/ Note: you'll have to put up with short advertisments that run before each video!