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Integrate exp(-1/2( ax^2 - b/x^2)
Yes, you're right- looking at my notes I have lost a \sqrt in there.- Raincloud
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- Forum: Calculus and Beyond Homework Help
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Integrate exp(-1/2( ax^2 - b/x^2)
Homework Statement Integrate: I(a,b) = \int^\infty_\infty exp(-1/2(ax^2+b/x^2)) dx given \int^\infty_\infty exp(1x^2/2) dx = \sqrt{2\pi} Homework Equations The suggested substitution is y = (\sqrt{a}x - \sqrt{b}/x)/2 The Attempt at a Solution The substitution gives...- Raincloud
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- Forum: Calculus and Beyond Homework Help