Integrate It!- Part V

Calculus Level 4

S=01x4(1x)41+x2dx \large S = \displaystyle \int_{0}^{1} \dfrac{x^{4}(1-x)^{4}}{1 + x^{2}} \, dx

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

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