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Antiderivative

From Mathematics

An antiderivative, also called a primitive, as its name implies, is the opposite of a derivative in calculus. That is, it is a function for which the given function is the derivative. It is important to note that there are an infinite number of antiderivatives for every function, since constants disappear during differentiation. For this reason, an arbitrary constant is often attached to the antiderivative, making an indefinite integral.

[edit] Finding an antiderivative

Antidifferentiation is generally considered more difficult than differentiation, since there is no analog to the difference quotient to help with calculations. However, some rules for differentiation can be used to make the task easier. For example, the constant multiple rule, i.e. math, allows us to easily antidifferentiate power functions. Using 5x3 as an example:

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[edit] Antiderivatives of key general functions

Function Antiderivative
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