## Happy New Year!

The January posts from past years finish the methods of integration thread from December and then go onto applications of integration: area between graphs, volume, and average value of a function. The month ends with a series on accumulation and functions defined by integrals.These run into February, so I’ve included them in the list below.

The most popular post from past Januarys by far is the AP Accumulation Question post. It is in the featured list below along with some others from past Januarys.

Later this month look for a new series of post on differential equations

January 2, 2013 Integration by Parts – 1

January 4, 2013 Integration by Parts – 2

January 7, 2013 Area Between Curves

January 9, 2013 Volume of Solids with Regular Cross-sections

January 11, 2013 Volumes of Revolution

January 14, 2013 Why You Never Need Cylindrical Shells

January 16, 2013 Average Value of a Function

January 19, 2013 Most Triangles are Obtuse! What is the probability that a triangle picked at random will be acute? An average value problem.

January 21, 2103 Accumulation: Need an Amount? Accumulation 1: If you need an amount, look around for a rate to integrate.

January 23, 2013 AP Accumulation Questions Accumulation 2: AP Exam Rate/Accumulation Questions

January 25, 2014 Improper Integrals and Proper Areas

January 26, 2013 Graphing with Accumulation 1 Accumulation 3: Graphing Ideas in Accumulation – Increasing and decreasing

January 28, 2013 Graphing with Accumulation: Accumulation 4: Graphing Ideas in Accumulation – Concavity

January 30, 2013 Stamp Out Slope-intercept Form! Accumulation 5: Lines

February 2, 2013: Accumulation and Differential Equations Accumulation 6: Differential equations

February 4, 2013: Painting a Point Accumulation 7: An application (of paint)