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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
Definite integrals
In a definite integral of a function, the resulting
subtracted. Symbolically, ∫ab f (x)dx = F (b) − F (a), where f(x) = dF/dx.
The PREVAL(f(x),a,b) function of the CAS can simplify such calculation by returning
Infinite series
A function f(x) can be expanded into an infinite series around a point x=x0 by using a Taylor’s series, namely,
∞ | f ( n) (x | o | ) |
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f (x) = ∑ |
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| ⋅ (x − xo ) n , | |
n! |
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n=0 |
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