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Definite Integral : Given a function f ( x ) which is continuous on the interval [a,b] we divide the interval in n subintervals of equivalent width, Δx , and from each interval select a point xi* . Then the definite, integral of f(x) from a to b is
There is also a little bit of terminology that we should get out of the way here.
Lower limit of the integral
The number "a" that is at the bottom of the integral sign is called the lower limit of the integral
Upper limit of the integral
The number "b" at the top of the integral sign is called as the upper limit of the integral.
Interval of integration
Also, in spite of the fact that a & b were given as an interval the lower limit does not essentially need to be smaller than the upper limit. Jointly we'll often call a & b the interval of integration.
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