Solving for constant in an integral

I'm in a bit of a pickle,revising for an exam, but there's one stumbling block i'm getting at, evaluating this so that I have a finite value for a. I've obtained the anti-derivative, I'm i'm facing hell trying to complete the problem. Any pointers will be appreciated. The limits are from negative infinity to positive infinity

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Originally Posted by bidii

I'm in a bit of a pickle,revising for an exam, but there's one stumbling block i'm getting at, evaluating this so that I have a finite value for a. I've obtained the anti-derivative, I'm i'm facing hell trying to complete the problem. Any pointers will be appreciated. The limits are from negative infinity to positive infinity

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This has to be treated as an improper integral. However, it's impossible for the given integral to equal 1. Is this the original question?

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Originally Posted by mr fantastic

This has to be treated as an improper integral. However, it's impossible for the given integral to equal 1. Is this the original question?

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Yes it can

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Originally Posted by bidii

Yes it can

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If that's the correct question then it has an error in it. See your teacher.