Any hint how to simplify the definite integral of the Gaussian density function
to 1?
f := 1/(sqrt(2*pi())) * exp(-x^2/2)
2
x
- --
2
%e
(1) -------
+----+
\|2%pi
Type: Expression(Integer)
intf := integrate(f, x=%minusInfinity..%plusInfinity)
+---+
2\|%pi
(2) -----------
+-+ +----+
\|2 \|2%pi
Type: Union(f1: OrderedCompletion(Expression(Integer)),...)
simplify intf
+---+
2\|%pi
(3) -----------
+-+ +----+
\|2 \|2%pi
Type: Expression(Integer)
normalize intf
+---+
2\|%pi
(4) -----------
+-+ +----+
\|2 \|2%pi
Mit freundlichen Grüßen
Johannes Grabmeier
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