The Fundamental Theorem of Calculus, Part 1
httpv://www.youtube.com/watch?v=PGmVvIglZx8
The Fundamental Theorem of Calculus, Part 2
httpv://www.youtube.com/watch?v=nHnZVFeQvNQ
The Fundamental Theorem of Calculus, Part 1
httpv://www.youtube.com/watch?v=PGmVvIglZx8
The Fundamental Theorem of Calculus, Part 2
httpv://www.youtube.com/watch?v=nHnZVFeQvNQ
Approximating Area Using Rectangles
httpv://youtu.be/vqSPGeYO2UA
The Definite Integral
httpv://youtu.be/ODwkTt0RMDg
Calculating a Definite Integral Using Riemann Sums — Part 1
httpv://youtu.be/gFpHHTxsDkI
Calculating a Definite Integral Using Riemann Sums — Part 2
httpv://youtu.be/GE4OLfmJ8P8
Three equations that give formulas for sums of powers of positive integers:
These formulas are simple rules for working with sigma notation:
Use the form of the definition of the integral
to evaluate the integral.
httpv://www.youtube.com/watch?v=1uN8cBGVpfs
Mnemonic Device for Remembering Steps in Curve Sketching
A. Domain
B. Intercepts
C. Symmetry
D. Asymptotes
E. Decrease or Increase
F. Local Maximum and Minimum
G. Concavity and Points of Inflection
“This is a dill chip.”
Now, think of this phrase as, “Dis a dill chip.”
This phrase is close to, “DISADILCIP.”
Use the first letters to reconstruct the steps: Domain, Intercepts, Symmetry, Asymptotes, Decrease/Increase (intervals), Local max/min, Concavity, Inflection Point.
(If you think of something better, please, share it.)
httpv://www.youtube.com/watch?v=xYOrYLq3fE0
httpv://www.youtube.com/watch?v=sRIDVAcoG5A&NR=1
Credit for the following PDF goes to Stephen Taylor of Bucks County Community College:
httpv://www.youtube.com/watch?v=0YH8BrlVTqk