Task 09
Task 09ΒΆ
deadline: 02/05/2021 23:59 CET
[1.0 points]: Estimate the following definite integral,
\[
\int_0^1 \frac{x^4 (1 - x)^4}{1 + x^2} dx,
\]
using the midpoint rule with a partition of size \( N = 10 \). Print the value and the absolute error of the approximation (the exact value of the integral is \( 22 \, / \, 7 - \pi \)). Note that this integral is used as a proof that the Diophantine approximation of \( \pi \) is greater than \( \pi \).
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