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Can someone help to show rho(1/2)=√(PI) both with regular numbers and polar coordinates and that they equal each other. (I have the proofs I just have to prove they equal each other) rho(1/2)=(from 0 to ∞)∫[x^(-1/2)*e^-x]dx
Then let u²=x
2udu=dx
du=(dx)/(2u);du=dx/2√(x)
2(from 0 to ∞)∫e^(-u²)du = 2[(√(PI))/2]=√PI
and then with polar coordinates
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