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How can I get this spiked Integral evaluated???

• To: mathgroup at smc.vnet.net
• Subject: [mg71957] How can I get this spiked Integral evaluated???
• From: Zeno <zeno333 at mindspring.com>
• Date: Wed, 6 Dec 2006 06:03:34 -0500 (EST)

```This is an integral with a spike that is not in the middle of the
integral range. Here is the integral...

NIntegrate[Exp[-x^2], {x, -900, 1000}]

Mathemtaica 5.2.2 gives this error message....

"Numerical \integration stopping due to loss of precision. Achieved
neither the requested \PrecisionGoal nor AccuracyGoal; suspect one of
the following: highly \oscillatory integrand or the true value of the
integral is 0. If your \integrand is oscillatory on a (semi-)infinite
interval try using the option \Method->Oscillatory in NIntegrate.
More?

However, to use the option "Method->Oscillatory" one of the bounds of
the integral must be infinity, so that would not work here. How do I
get it to to the integral in the range -900 to 1000??