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GUJCET Numerical Beauty — practice questions

1 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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$\displaystyle\int_0^1 \dfrac{x^4(1-x)^4}{1 + x^2}\, dx = ?$ (Putnam — pinpoints $22/7 - \pi$)