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Antiderivative

An antiderivative of a function f is a differentiable function F whose derivative is equal to the original function f, so applies

 


Explanation

Each of the infinitely many antiderivatives of a given function f is called the indefinite integral of f and is written using the integral symbol with no bounds

 


Example 1

For the indefinite integral let

By substitution we get

so

 


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