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 (
specified variable (
"
works only with real numbers.
b
∫
I
a
f (x)
I
a
∫
FN) integrates the current equation with respect to a
∫
d_). The function may have more than one variable.
f
(x)
dx
x
b
Integrating Equations
8
8–1