8
Numerical
Integration
Many problems in mathematics, science, and engineering require cal
culating the definite integralof a function. If the function is denoted
by
fix)
and the interval of integration is a to b, then the integralcan be
expressed mathematically as
7=
£bfix)dx.
The quantity I can be interpreted geometrically as the
area
of a region
bounded
by
the graph
of
the function
fix),
the x-axis, and the limits
x = a and x = b (provided that
fix)
is nonnegative throughout the in
terval of integration).
The /FN operation integrates a specified function with respect to a
specified variable.* The function
must
be defined beforehand in a la
beled program, and it
may
have more than one variable.
•/FN
works only with real numbers.
126
8:
Numerical
Integration