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Integrating Equations
8–1
File name 33s-English-Manual-040130-Publication(Edition 2).doc Page : 388
Printed Date : 2004/1/30 Size : 13.7 x 21.2 cm
8
Integrating Equations
Many problems in mathematics, science, and engineering require calculating the
definite integral of a function. If the function is denoted by
f(x) and the interval of
integration is
a to b, then the integral can be expressed mathematically as
∫
=
b
a
dx (x) f I
f (x)
b
x
a
I
The quantity I can be interpreted geometrically as the area of a region bounded by
the graph of the function
f(x), the x–axis, and the limits x = a and x = b (provided
that
f(x) is nonnegative throughout the interval of integration).
The
"
operation (
∫
FN) integrates the current equation with respect to a
specified variable (
∫
d_). The function may have more than one variable.
"
works only with real numbers.