Ok so i have been instructed to normalize N*x*exp(-ax^2), so i squared the function and trying to take the integral. I am a) assuming that the integration should run from the negative value of the amplitude or -A to the positive value of the Amplitude of A, i have a formula for A. My assumption about integrating over the amplitude is based upon my understanding that the largest values of x are going to be at the maximum and minimum amplitude respectively.(adsbygoogle = window.adsbygoogle || []).push({});

My main question is how the heck do you integrate (x^2)(exp(-a*x^2)) this is making me crazy, in tried integration by parts but that doesn't work as you just end up with the exponential back which i can't integrate in the first place. U sub would also make me insane. If someone can explain how to integrate this evil thing i would really appreciate it. I am willing to use any method of integration people come up with.

Also am I right about the integrating over the respective amplitudes? All space does not make sense to me, as we are talking about the stretching of an atom and that does not stretch infinitely.

If anyone can help I would REALLY appreciate it,

thanks

rachael

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# Homework Help: Help with QM harmonic Oscillator Question

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