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Integrating Equations 8–1
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 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
dxxfI )(
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
)
operation (
∫
FN) integrates the current equation with
respect to a specified variable (
∫
d_). The function may have more than
one variable.