More Integral Exchange: Integration By Parts

The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...

Find shortcuts to finding derivatives. The resource introduces the power rule for finding the derivatives of polynomial functions. The fourth video in a series of 31 starts by applying the rule to monomials and then shows how to combine...

The concept of solving integrals by substitution with trigonometric functions is modeled by a video designed for AP Calculus classes. The narrator works an example problem using substitution and shows that careful substitution makes...

Class members learn how to evaluate derivatives of functions using the Chain Rule through a video that shows the steps of finding a derivative with the Chain Rule. The two examples include both a trigonometric and polynomial function.

Work on the chain gang. The 11th installment in a series of 31 demonstrates how the chain rule and the quotient rule work together to find a derivative. Using a trigonometric function of a quotient involving exponentials as an example,...

Will the product rule work for more than two functions? The sixth video in a series of 31 provides a function that is the product of three other functions. Making connections to the product rule with two functions, the presenter shows...

Introduce the opposite of differentiation. Pupils learn the basic definition of integration and how to integrate a polynomial. The video shows learners how the integral is the opposite of the derivative. Individuals see how to confirm...

Use properties properly to evaluate a definite integral. Pupils watch an informative video to see how three different properties of integrals help with the evaluation of a definite integral. The presenter uses the properties to separate...

Find out how to integrate when simple integration is not enough. Learners view examples of complex integrals that require a different approach to solve. The video presents three methods to solve integrals: U-substitution, integration by...

Take a look at the product rule and chain rule through the eyes of geometry. The fourth video in an 11-part series continues to explore derivative rules using geometry. An area model and a set of number lines help viewers understand the...