How do I show that $$\int_a^bf(x)dx - I_1 = - \frac{h^5}{90}f^{(4)} (\xi)$$ with $\xi \in [a,b]$ and $$I_1 := \frac{h}{3}(f(a) + 4f\left( \frac{a+b}{2}\right) + f(b))$$ and $h= \frac{b-a}{2}$. I was thinking about about the mean value theorem somewhere, but I am not sure how to apply it to get to the result.
2026-02-24 02:51:44.1771901504
Error of Simpson's Rule
138 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in INTEGRATION
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