integra1
(* integrazione indefinita funzioni semplici*)
y=x;
Integrate[y,x]
x^2/2
;[o]
2
x
--
2
y=1/x;
Integrate[y,x]
Log[x]
;[o]
Log[x]
y=1/Sqrt[x];
Integrate[y,x]
2*x^(1/2)
;[o]
2 Sqrt[x]
y=a^x;
Integrate[y,x]
a^x/Log[a]
;[o]
x
a
------
Log[a]
y=E^x;
Integrate[y,x]
E^x
;[o]
x
E
y=Tan[x];
Integrate[y,x]
-Log[Cos[x]]
;[o]
-Log[Cos[x]]
y=1/Sin[x];
Integrate[y,x]
-Log[Cos[x/2]] + Log[Sin[x/2]]
;[o]
x x
-Log[Cos[-]] + Log[Sin[-]]
2 2