# January

### Techniques of Integration

Integration by Parts – 1

Integration by Parts – 2

Modified Tabular Integration – Really this is the easy way.

Parts and More Parts

Good Question – 12 Parts with a Constant?

VIDEOS on Techniques of Integration

### Areas and Volumes of Solid Figures:

Area Between Curves

Under is a Long Way Down

Visualizing Solid Figures 1 Physical models of solid figures

Visualizing Solid Figures 2 Solids with regular cross sections

Visualizing Solid Figures 3 Volume by “Washers”

Volume of Solids with Regular Cross-sections

Volumes of Revolution

Why You Never Need Cylindrical Shells

VIDEOS on Applications of Integration

### Other Applications

Improper Integrals and proper areas.

Average Value of a Function

Most Triangles are Obtuse! What is the probability that a triangle picked at random will be acute? An average value problem.

Logarithms The real definition of the logarithm function and where it come from.

### Parametric, Vector, and Polar Functions

These are BC topics

Parametric Equations – A particle moving in a plane

Implicit Differentiation of Parametric Equations

A Vector’s Derivatives

Polar Curves

A series on ROULETTES some special parametric curves (BC topic – enrichment):

### Accumulation

On the exams; not in many textbooks

Accumulation: Need an Amount? Accumulation 1: If you need an amount, look around for a rate to integrate.

AP Accumulation Questions Accumulation 2: AP Exam Rate/Accumulation Questions

Graphing with Accumulation 1 Accumulation 3: Graphing Ideas in Accumulation – Increasing and decreasing

Graphing with Accumulation 2: Accumulation 4: Graphing Ideas in Accumulation – Concavity

Stamp Out Slope-intercept Form! Accumulation 5: Lines

Accumulation and Differential Equations Accumulation 6: Differential equations

Painting a Point Accumulation 7: An application (of paint)