query: Why trapezoidal rule is giving better answers for some functions than Simpson's 1/3 rule?
positive_passages.docid: 24752
positive_passages.text: For numerical integration, is it true that higher degree of precision gives better accuracy always?
negative_passages.docid: 50230
negative_passages.text: Why does the order of summation of the terms of an infinite series influence its value?
negative_passages.docid: 150417
negative_passages.text: Two apparently different antiderivatives of $\frac{1}{2 x}$
negative_passages.docid: 62522
negative_passages.text: Sine is algebraically less than cosine in given interval.
negative_passages.docid: 31102
negative_passages.text: Why does $\frac{1}{r}\frac{dr}{d\theta} = \cot \psi$?
negative_passages.docid: 82739
negative_passages.text: Why is $\alpha \rightarrow \forall x(\alpha)$ not generally correct in first-order logic?
negative_passages.docid: 43637
negative_passages.text: Derivative of the sine function when the argument is measured in degrees
negative_passages.docid: 115367
negative_passages.text: Limits with cubic root without L’Hopital’s Rule: $\lim_{x\to 1}\frac{\sqrt[3]{x}-1}{x-1} $
negative_passages.docid: 10013
negative_passages.text: A problem that I'm not sure whether to use Weierstrass Approximation Theorem
negative_passages.docid: 144773
negative_passages.text: function $f(x)=x^{-(1/3)}$ , please check whether my solution is correct?
negative_passages.docid: 70040
negative_passages.text: The fractional parts of the powers of the golden ratio are not equidistributed in [0,1]
negative_passages.docid: 29578
negative_passages.text: Why is $\binom{2n}{n} \asymp \Theta \big(\frac{2^{2n}}{\sqrt{n}}\big)$?
negative_passages.docid: 120451
negative_passages.text: Why Does Snell's Law use Sine Instead of Angle Values?
negative_passages.docid: 100422
negative_passages.text: What is the difference between using the multiplication rule or using Venn diagram subtraction for probability?
negative_passages.docid: 102138
negative_passages.text: Why does $\sqrt{x^2}$ seem to equal $x$ and not $|x|$ when you multiply the exponents?
negative_passages.docid: 9205
negative_passages.text: When do the Freshman's dream product and quotient rules for differentiation hold?
negative_passages.docid: 110113
negative_passages.text: Definite and Indefinite integral give different results for piecewise function