Khan Academy: Worked Example Finding Area Under Density Curves

Video lesson explaining why the antiderivative is the area under a curve. Provides an introduction to the fundamental theorem of calculus. [9:46]

What? The calculation of area is a linear distance? A short video shows how to use the areas of simple polygons to estimate the area under a graph. Pupils divide the area under a curve into figures to easier calculate the area. Given...

Students will learn how to program the TI 83/84 Plus graphing calculator to approximate the area under a curve using Left,Right,Midpoint Riemann Sums, and Trapezoid Rule, and Simpson's Rule.

A step-by-step explanation of the formulas needed to find the area under a curve by working through an example problem.

High level analysis of density curves. A focus on median, mean, left-skew and right-skew.

Worked example identifying observational study.

Worked example identifying experiment.

Worked example identifying sample study.

Using TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...

Worked example of linear regression using transformed data. Adapted from 2007 AP Statistics free response, form b, question 6, part d.