Khan Academy
Khan Academy: Calculus: Periodic Definite Integral
Video lesson solving a 2010 IIT JEE calculus problem about finding the definite integral of a periodic function. The function in the problem is composed of a cosine function and a greatest integer function. The problem is solved using...
Sophia Learning
Sophia: Riemann Sums: Lesson 5
In this lesson a method of approximating the area between a function and the x-axis is discussed. This concept will be the foundation for finding the exact area under functions. It is 5 of 8 in the series titled "Riemann Sums."
Khan Academy
Khan Academy: Definite Integrals: Definite Integral With Substitution
This video shows how to evaluate a definite integral using u substitution.
Khan Academy
Khan Academy: Definite Integrals: Definite Integrals (Part 5)
More examples of using definite integrals to calculate the area between curves
Khan Academy
Khan Academy: Definite Integrals: Challenging Definite Integration
This video shows how to find the definite integral of a periodic function. The problem is solved using integration by parts.
Khan Academy
Khan Academy: Double Integrals: Double Integrals 4
Another way to conceptualize the double integral.
Khan Academy
Khan Academy: Double Integrals: Double Integrals 3
Video lesson showing how to compute the double integral. Includes a visual representation.
Khan Academy
Khan Academy: Intuition for Second Fundamental Theorem of Calculus
A video showing a way to evaluate a definite integral.
Khan Academy
Khan Academy: Definite Integrals: Definite Integrals and Negative Area
This video includes finding the area above and below the x axis.
Khan Academy
Khan Academy: Definite Integrals: Evaluating Simple Definite Integral
This video shows how to find the exact area under a curve by evaluating a definite integral.
Khan Academy
Khan Academy: Definite Integrals: Area Between Curves
This video shows you how to find the area between two curves. [4:08]
Khan Academy
Khan Academy: U Substitution: U Substitution With Definite Integral
This video tutorial provides an example of using u-substitution to evaluate a definite integral.
Khan Academy
Khan Academy: Definite Integrals: Area Between Curves With Multiple Boundaries
A video showing how to evaluate the area between two curves.
Sophia Learning
Sophia: Riemann Sums: Lesson 7
In this lesson a method of approximating the area between a function and the x-axis is discussed. This concept will be the foundation for finding the exact area under functions. It is 7 of 8 in the series titled "Riemann Sums."
Sophia Learning
Sophia: Riemann Sums: Lesson 1
In this lesson a method of approximating the area between a function and the x-axis is discussed. This concept will be the foundation for finding the exact area under functions. It is 1 of 8 in the series titled "Riemann Sums."