HP 50g HP 50g_user's manual_English_HDPSG49AEM8.pdf - Page 137

Definite integrals, where fx = dF/dx.

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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 ∫b subtracted. Symbolically, f (x)dx = F (b) − F (a), where f(x) = dF/dx. a 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. Page 11-4

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Page 11-4
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.
),
(
)
(
)
(
a
F
b
F
dx
x
f
b
a
−
=
∫