$$ \int\limits_0^{4\sqrt3}\left(-x^3\,+2\sqrt3x^2+24x\right)\mathrm{d}x\; $$
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$$ \int\limits_0^{4\sqrt3}\left(-x^3\,+2\sqrt3x^2+24x\right)\mathrm{d}x\; $$
MathBot Answer:
MathBot is working on a solution to your problem.