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#1 2007-11-23 05:39:41

Kent
Member
Registered: 2007-11-22
Posts: 3

Another integral

Evaluate

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#2 2007-11-23 06:51:12

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Another integral

Assume for now that b > a. Then use the substitution

Then the integral becomes

If b < a, the answer is −π. And if b = a, the integral doesn’t exist since the function then won’t be defined anywhere.

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#3 2007-11-23 08:34:10

Krizalid
Member
Registered: 2007-03-09
Posts: 51

Re: Another integral

Kent wrote:

Evaluate

Substitute

Make another substitution defined by

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