**The Fundamental Theorem of Calculus, Part 1**

**The Fundamental Theorem of Calculus, Part 2 **

**The Fundamental Theorem of Calculus, Part 1**

**The Fundamental Theorem of Calculus, Part 2 **

Approximating Area Using Rectangles

The Definite Integral

Calculating a Definite Integral Using Riemann Sums — Part 1

Calculating a Definite Integral Using Riemann Sums — Part 2

Three equations that give formulas for sums of powers of positive integers:

These formulas are simple rules for working with sigma notation:

http://ichthyosapiens.com/School/Math/Calculus/5.1and2/4x-x^2a.pdf

Use the form of the definition of the integral

to evaluate the integral.

**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.)

http://ichthyosapiens.com/School/Math/Calculus/4.5/4.5-01b.pdf

http://ichthyosapiens.com/School/Math/Calculus/4.5/4.5-03.pdf

http://ichthyosapiens.com/School/Math/Calculus/4.5/4.5-09.pdf

http://ichthyosapiens.com/School/Math/Calculus/4.5/4.5-19a.pdf

http://ichthyosapiens.com/School/Math/Calculus/4.5/4.5-23.pdf

http://ichthyosapiens.com/School/Math/Calculus/4.5/4.5-35.pdf

Credit for the following PDF goes to Stephen Taylor of Bucks County Community College:

http://ichthyosapiens.com/School/Math/Calculus/3.9/ProbsRelatedRates.pdf