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Integrate It!- Part V

Calculus Level 4

$\large S = \displaystyle \int_{0}^{1} \dfrac{x^{4}(1-x)^{4}}{1 + x^{2}} \, dx$

Find the value of $\large \lfloor 10000S \rfloor$ .

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by Avineil Jain

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