Compute the following 3 integrals: dx 2n dr 2 1 5dr (1 + x²)2 dx Yes, that's an absolute value in the exponent. Yes, one of those integrals is just a Fourier transform. Yes, one of those integrals is...

Extracted text: Compute the following 3 integrals: dx 2n dr 2 1 5dr (1 + x²)2 dx Yes, that's an absolute value in the exponent. Yes, one of those integrals is just a Fourier transform. Yes, one of those integrals is remarkably simple to calculate, even with the square. Yes, one of those integrals is really difficult if you don't remember an important property of Fourier transforms, and it's remarkably easy if you do remember that property of Fourier transforms.