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The Fundamental Theorem of Calculus is the theorem that relates the derivative to the integral.

Given two curves defined for y in terms of x, you can find the area in between them by taking the integral of the difference between the upper curve and the lower curve. Your first step will be to figure out which curve is higher and which curve is lower.

This example shows how to do a partial fraction decomposition with a combination of distinct linear and repeated quadratic factors.

Oftentimes, evaluating the integral of a trigonometric function will be more about using another method for solving integrals, like substitution, integration by parts, or partial fractions, than it is about the trigonometric function itself.

This is an example of how to do a partial fractions decomposition when you're dealing with distinct quadratic factors.

Partial fractions, or partial fractions decomposition, is a way to evaluate integrals of rational functions. There are four types of factors you need to deal with when you're working through a partial fractions decomposition: Distinct linear factors Repeated linear factors Distinct quadratic factors Repeated quadratic factors You may also have a combination of these types of factors. This video is an example of how to use partial fractions when you're...

This example shows how to do a partial fractions decomposition with repeated linear factors.

This example shows how to do a partial fraction decomposition with a combination of distinct linear and repeated quadratic factors.

This is an example of how to do a partial fractions decomposition when you're dealing with distinct quadratic factors.

The Fundamental Theorem of Calculus is the theorem that relates the derivative to the integral.