**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 **

Don Dinero cómo te quiero

Don Dinero eres el mero mero

Si quieres ser reina, te compro un castillo

Si estás enredada, te compro un cepillo

Si quieres casarte, te compro un anillo

Compro un destornillador si te falta un tornillo

Continue reading Aterciopelados — “Don Dinero” — Spanish/English

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.

The Guitar

by Federico García Lorca

Translated by Cola Franzen

The weeping of the guitar

begins.

The goblets of dawn

are smashed.

The weeping of the guitar

begins.

Useless

to silence it.

Impossible

to silence it.

It weeps monotonously

as water weeps

as the wind weeps

over snowfields. Continue reading Federico García Lorca

**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