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Indeed let
$$
I(n,a)=\int_0^\infty\frac{dx}{\sqrt{x}(1+ax+x^2)(\sum_{k=0}^n(-x)^k)}
$$
The change of variables $x\leftarrow 1/x$ yields
$$
I(n,a)=\int_0^\infty\frac{(-1)^nx^{n+1}dx}{ \sqrt{x}(1+ax+x^2)(\sum_{k=0}^n(-x)^k)}
$$
Thus
$$
2I(n,a)=\int_0^\infty\frac{1+x}{\sqrt{x}(1+ax+x^2)}dx=
2\int_0^...
I'm trying to develop a function which 3D plot would have a buttocks like shape.
Several days of searching the web and a dozen my of own attempts to solve the issue have brought nothing but two pitiful formulas below.
They have some resemblance to the shape I want, though not quite.
Could you...
