HP F2216A hp 33s_user's manual_English_E_HDPM20PIE56.pdf - Page 123
Integrating Equations
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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 f (x) I = ³ b a f (x) dx I x a b 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 ( ³ FN) integrates the current equation with respect to a specified variable ( ³ d_). The function may have more than one variable. works only with real numbers. Integrating Equations 8-1
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
=
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.