# User Portlet

In [A Rational Approach to Pi][1] Beukers asserts on the right column of page 377 that the integral, $$I_n=\int_{0}^{\pi/4}d\phi \Big( 4 \sin(\phi) \big(\sin(\phi)-\cos(\phi)\big) \Big)^n,$$ Produces a rational approximation to $\pi$, which...
I think you should be careful with this plot, and it looks like you are headed in a wrong direction. The function you give isn't $2\pi$ periodic, as can easily be seen by explicit computation of function values V[r_, \[CurlyPhi]_] := Exp[-(r...