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S=∫01x4(1−x)41+x2 dx \large S = \displaystyle \int_{0}^{1} \dfrac{x^{4}(1-x)^{4}}{1 + x^{2}} \, dxS=∫011+x2x4(1−x)4dx
Find the value of ⌊10000S⌋\large \lfloor 10000S \rfloor ⌊10000S⌋.
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