id: 02303032
dt: j
an: 1995a.00367
au: Fitt, A.; Hoare, G.
ti: The closed form integration of arbitrary functions.
so: Math. Gaz. 77, No. 479, 227-236 (1993).
py: 1993
pu: Cambridge University Press, Cambridge; Mathematical Association (MA),
Leicester
la: EN
cc: I40
ut:
ci:
li: doi:10.2307/3619719
ab: Mit Hilfe des Liouvilleschen Satzes wird die Stammfunktion von Funktionen
ermittelt.
rv:
ab: This paper looks at the problem of anti-differentiation, i.e. integrating
common functions and trying to find patterns instead of using a range
of techniques such as substitution, separation, etc. The approach is
via the theorem of Liouville, which is developed to give the integral
of any combination of an algebraic and exponential function which is an
elementary integral. This result, known for 130 years, is now arousing
interest, with the availability of symbolic manipulation packages on
computers.
rv: