Integration is about finding the surface
s, given
a,
b and
y = f(x). The formula for the integral from
a to
b, graphed above, is:
Formula:
\displaystyle{ \int\limits_{a}^{b} f(x)\,dx } What is the integral (animation)
In calculus, an integral is the space under a graph of an equation (sometimes said as "the area under a curve"). An integral is the reverse of a derivative, and integral calculus is the opposite of differential calculus. A derivative is the steepness (or "slope"), as the rate of change, of a curve. The word "integral" can also be used as an adjective meaning "related to integers".