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∫01x4(1−x2)5(1+x2)10 dx=A\int_0^1\frac{x^4\left(1-x^2\right)^5}{\left(1+x^2\right)^{10}}\, dx=A∫01(1+x2)10x4(1−x2)5dx=A
Given the above, find 1A.\frac{1}{A}.A1.
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