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Have I found a bug?

• To: mathgroup at smc.vnet.net
• Subject: [mg84209] Have I found a bug?
• From: Louise Hoffman <louise.hoffman at gmail.com>
• Date: Fri, 14 Dec 2007 03:55:22 -0500 (EST)

Dear readers,

When I calc. this in Mathematica 5.2

g[x_] := 1 - x^2
h[x_] := -x
Exp[-Integrate[ (D[g[x], x] - h[x])/g[x], x ] ]

it returns
1/Sqrt[-1+x^2]

where I would expect

1/Sqrt[1-x^2]

Have I found a bug, or have I made a mistake?

Lots of love,
Louise

• Follow-Ups:
  • RE: Have I found a bug?
    • From: "Jaccard Florian" <Florian.Jaccard@he-arc.ch>