HP 49g+ Graphing Calculator Manuel d'utilisateur télécharger pdf (Page 138)

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,

),()()( aFbFdxxf

−=

∫

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.

Infinite series

A function f(x) can be expanded into an infinite series around a point x=x

using a Taylor’s series, namely,

∑

∞

−⋅=

)(

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HP 49g+ Graphing Calculator Manuel d'utilisateur Page 138