The first fundamental theorem of calculus states that, if is Continuous on the
Closed Interval and is the Antiderivative (Indefinite Integral) of on , then

(1) |

The second fundamental theorem of calculus lets be Continuous on an Open Interval
and lets be any point in . If is defined by

(2) |

(3) |

The complex fundamental theorem of calculus states that if has a Continuous
Antiderivative in a region containing a parameterized curve
for
, then

(4) |

© 1996-9

1999-05-26