$$\int \frac{dx}{\sqrt{x^5+ax^3+bx^2+cx+d}}$$
I know we have $E,K,$ and $\Pi$ to integrate quartics under the radical, but I wonder what functions quintics yield? Are there any known?
$$\int \frac{dx}{\sqrt{x^5+ax^3+bx^2+cx+d}}$$
I know we have $E,K,$ and $\Pi$ to integrate quartics under the radical, but I wonder what functions quintics yield? Are there any known?
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