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Student Support Forum: 'Result interpretation' topicStudent Support Forum > General > "Result interpretation"

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Greg
04/14/04 6:59pm

How should the following result be interpreted?

In[2]:=
Integrate[1/4E^(-Abs[x])*(1 + Abs[x]), {x, -y, y}]

Out[2]=
\!\(2\ y\ If[y \[Equal] 0 ||
Im[y] ≠ 0, \(-\(\(\[ExponentialE]\^\(-\@y\^2\)\ \((
y\^2 + 2\ \@y\^2)\)\)\/\(4\ y\^2\)\)\), Integrate[1\/4\ \[ExponentialE]\
\^\(-Abs[\(-y\) + 2\ x\ y]\) + 1\/4\ \[ExponentialE]\^\(-Abs[\(-y\) + 2\ x\
y]\)\ Abs[\(-
y\) + 2\ x\ y], {x,
0, 1}, Assumptions \[Rule] \(! \((y \[Equal] 0 || Im[y] ≠ 0)\)\)]]\)

It seems to suggest that the result is indeterminate if y=0, but if y=0, the result should be 0.

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