Let's take a known polynomial function $f$, which is positive bounded in $[a,b]$. If I know $\int_a^bf(x)dx$, can I calculate or at least estimate $\int_a^b\sqrt{f(x)}dx$? Is it possible to calculate $\int_0^a\sqrt{(b^2-x^2)(a^2-x^2)}dx$?
2026-05-15 10:20:35.1778840435
The integral of a function's square root
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