HP 48g Graphing Calculator - Manual (Page 247)

f(x)
"'ä.
■ ^x
The striped area is the value of the integral. The shaded area is the
value of the uncert ainty of integration. You can see that at any point
X, the uncertainty of integration is proportional to f{x).
The numeric integration algorithm uses an iterative method, doubling
the number of sample points in each successive iteration. When the
algorithm stops, the current value of the integral is returned to level
1, and the uncertainty of integration is stored in the variable lERR.
The error in the final value will almost certainly be less than the
uncertainty of integration.
20
To check the uncertainty of the numeric results:
After computing the numeric results, press
fVAR)
I E F ; R (you may
need to press
f NXT
) one or more times before I ERR is displayed in
the menu.
Symbolic integration
Symbolic integration means calculating an integral by finding a known
antiderivative and then substituting specified limits of integration.
The result is a symbolic expression.
The HP 48 can integrate the following patterns;
■ All built-in functions whose antiderivatives contain only built-in
functions (and whose arguments are linear). See the analytic
Calculus and Symbolic Manipulation 20-7