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
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
)
operation (
∫
FN) integrates the current equation with
respect to a specified variable (
∫
d_). The function may have more than
one variable.
