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Please notice that functions SIGMAVX and SIGMA are designed for
integrands that involve some sort of integer function like the factorial (!)
function shown above. Their result is the so-called discrete derivative, i.e.,
one defined for integer numbers only.
Definite integrals
In a definite integral of a function, the resulting anti-derivative is evaluated
at the upper and lower limit of an interval (a,b) and the evaluated values
subtracted. Symbolically,
where f(x) = dF/dx.
The PREVAL(f(x),a,b) function of the CAS can simplify such calculation by
returning f(b)-f(a) with x being the CAS variable VX.
),()()( aFbFdxxf
b
a
−=
∫
SG49A.book Page 4 Friday, September 16, 2005 1:31 PM