**Techniques of Integration **

Modified Tabular Integration – Really this is the easy way.

Good Question – 12 Parts with a Constant?

**VIDEOS on Techniques of Integration**

**Areas and Volumes of Solid Figures:**

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

Why You Never Need Cylindrical Shells

**VIDEOS on Applications of Integration**

**Other Applications **

Improper Integrals and proper areas.

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

- Rolling Circles
- Epicycloids
- Epitrochoids
- Hypocycloids and Hypotrochoids
- Roulettes and Calculus
- Roulettes and Art – 1
- Roulettes and Art – 2
- Limaçons

**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)