01 - Antiderivatives - Antiderivatives F is called an antiderivative of f interval I if F x = f x for all x in I F is an antiderivative of f if the

01 - Antiderivatives - Antiderivatives F is called an...

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Antiderivatives Definition: A function F is called an antiderivative of f on an interval I if ! F x ( ) = f x ( ) for all x in I. ( F is an antiderivative of f if the derivative of F is f .) Ex. f ( x ) = 2 x Ex. f ( t ) = 1 t 4 = t ! 4 Ex. f ( x ) = x n
Ex. ! g ( x ) = x 2 7 Ex. Suppose ! f ( x ) = x 3 + e x , f (0) = " 1 Table of antiderivatives on page 297 in University Calculus . On my 1206 web page you can download them at the link “

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