Integral of a cubic root times a polynomial – math.stackexchange.com

Integral of a cubic root times a polynomial – math.stackexchange.com

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I came across this integral. Maybe I am quite out of practice, but I don't have any brilliant idea to solve it (with high school tools). $$\int (x^6+x^3)\sqrt[3]{x^3+2}\,dx$$ Thank you for any ...

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