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Integrating Equations 8-1
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
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.
∫
=
b
a
dx (x) f I
f (x)
b
x
a
I