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
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
- Hypocycloids and Hypotrochoids
- Roulettes and Calculus
- Roulettes and Art – 1
- Roulettes and Art – 2
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)