Khan Academy: Calculus: Definite Integrals (Area Under a Curve) (Part Iii)

Add up area to find total change. Pupils learn what it means to find the area under a curve and how to calculate it geometrically. They first find the accumulation of change given a rate of change function. Scholars then apply that...

Worked example finding area under density curves.

Video lesson that demonstrates finding the definite integral of a trigonometric function by using integration by substitution and then showing an alternate way to get the solution. [8:54]

Video lesson finishing an example of finding the area between two curves and solving another example. [9:57]

Video lesson using the fundamental theorem of calculus to find a definite integral. Also includes the beginning of an example of finding the area between two curves. [9:52]

Video lesson continuing an introduction to definite integrals by looking at a graph of time and velocity. Includes introduction to the notation for a specific definite integral and how to evaluate it. [9:16]

This video [4:48] shows how to determine the integral of an unusual function using geometry to find the area under the curve. Also shows how to find the derivative of a function which contains an integral by using the Fundamental Theorem...

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...

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

Video lesson solving the second part and introducing the third part of a free response problem from the 2008 AP Calculus BC exam about finding the area between two curves. Solution involves writing the expression for a definite integral...