**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

Dill Chips

“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=JnEcyA_40LY

httpv://www.youtube.com/watch?v=xYOrYLq3fE0

httpv://youtu.be/3-6bdDXzl9M

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

^