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Questions related to the calculus and analysis branches of Mathematica, including, but not limited to, limits, derivatives, integrals, series, and residues.
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Using the solution to an equation as an integral limit (when plotting)
I am trying to use the solution $r_0$ of the equation
$r^3 -r b^2 +2b^2=0$
as the limit of the integral
$\int^{r_0}_0 \left[b-b^3 u^3+\frac{b^3 u^2}{2}+\left(\frac{3 b^5}{8}+\frac{2 b^3}{\sqrt{\pi …