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Old 2008-04-27, 17:41   #7
frmky
 
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Jul 2003
So Cal

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As hinted above, shift the origin by 3 to get a symmetric integral over -1 to 1. Call this integral 1.

Then replace x by -x (and of course dx by -dx) and see what you get as an equivalent integral. Call this integral 2.

Now add integral 1 and integral 2 to get an integral that is easier to do. Call this integral 3.

Now, since integral 1 and 2 are equal, they are each 1/2 of integral 3.
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