Texas Instruments
Texas Instruments: Riemann Sums and the Fundamental Theorem of Calculus
In this activity, students learn and explore how Indefinite integrals are used to find the antiderivative of a function. They also learn that Definite integrals can be used to find the area bounded by a function and the X-axis. From...
Other
Karl's Calculus Tutor: Integrals
This site provides a detailed overview of intregals, including a focus on the fundamental theorem of calculus to definite and indefinite integrals. Content includes numerous examples and exercises.
Khan Academy
Khan Academy: Arc Length
Use definite integrals to find the length of an arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Texas Instruments
Texas Instruments: Planting & Harvesting an Application of the Definite
In this Derive activity, students apply the concept of definite integration and decide when a farmer should plant and harvest a crop of clover.
Texas Instruments
Texas Instruments: It's Outta Here!
This activity uses the graphing calculator and the CBR(tm) to determine how far a baseball will travel and if it would be a homerun at a Major League baseball game. This activity uses differential equations to determine the distance...
Khan Academy
Khan Academy: Application of Definite Integrals
If you have a function representing rate, what does the area under its curve represent? Area under rate function gives the net change. The definite integral of a rate function gives us the net change in the quantity described by the rate.
Khan Academy
Khan Academy: Area Between Curves
By integrating the difference of two functions, you can find the area between them. Created by Sal Khan.
Cuemath
Cuemath: Integral
A comprehensive guide for learning all about integrals with definitions, types and formulas, solved examples, and practice questions.
Khan Academy
Khan Academy: Average Value of a Function Over a Closed Interval
This video, from Khan Academy, explains the concept of "average value of a function over a closed interval".
Department of Defense
Do Dea: Fundamental Theorem of Calculus Part 1
Familiarize yourself with one of the most important theorems in all of calculus, the Fundamental Theorem of Calculus. Plenty of examples and explanations are provided. This is a great review for AP Calculus test!