Intermediate Mathematics - Antidifferentiation
Begin by viewing the video.
The processes of integral calculus typically are used to find areas,
cross-sectional areas and volumes. The processes might calculate the
surface area of the side of a bridge that needs repainting, or calculate
the cross-sectional area of a vehicle to determine its aerodynamic drag or
calculate the volume of dirt that must be removed to create an underground
road or communications tunnel. The processes are also used to calculate the
velocity and acceleration of cars and rockets at specified times. Methods
for approximating areas and an understanding of antiderivatives are needed
to develop the appropriate methods.
Antidifferentiation is the reverse of differentiation.  This
process finds a function from a derivative. Many antiderivatives can be
found for a given derivative. All of the derivative rules can be reversed
to give anti-derivative rules.
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