9.1.18 Primitive evaluation at boundaries
The preval command evaluates an
expression from one value to another, such as in done when evaluating
a definite integral using the Fundamental Theorem of Calculus.
-
preval takes three arguments:
-
F, an expression depending on the variable x.
- a and b, two expressions.
- preval(F,a,b) returns F|x=b−F|x=a.
preval is used to compute a definite
integral when the primitive F of the integrand f is known. Assume,
for example, that F:=int(f,x), then preval(F,a,b) is
equivalent to int(f,x,a,b), but does not require you to recompute
F from f if you change the values of a or b.
Example