query: Why is the integral of a square always larger than the square of an integral?
positive_passages.docid: 151698
positive_passages.text: Integral of a square compared to the square of an integral
negative_passages.docid: 15821
negative_passages.text: $\ln(x^2)$ vs $2\ln x$
negative_passages.docid: 25779
negative_passages.text: Constants of motion vs. integrals of motion vs. first integrals
negative_passages.docid: 70622
negative_passages.text: Why are integrals called integrals?
negative_passages.docid: 102825
negative_passages.text: Why change the sign of the integral when switching the limits of integration?
negative_passages.docid: 10898
negative_passages.text: Is an integral always continuous?
negative_passages.docid: 66580
negative_passages.text: Integration vs numerical integration
negative_passages.docid: 134551
negative_passages.text: Comparison between integrals
negative_passages.docid: 137664
negative_passages.text: What exactly is $F$ in $W = \int_{a}^{b} F dx$?
negative_passages.docid: 55694
negative_passages.text: Why is the upper Riemann integral the infimum of all upper sums?
negative_passages.docid: 24545
negative_passages.text: A doubt regarding change of variables in Double Integrals.
negative_passages.docid: 25652
negative_passages.text: Intuitive explanation for $\mathbb{E}X= \int_0^\infty 1-F(x) \, dx$
negative_passages.docid: 101647
negative_passages.text: Should I \mathrm the d in my integrals?
negative_passages.docid: 29296
negative_passages.text: Are there any special rules when making a substitution in an integral?
negative_passages.docid: 133496
negative_passages.text: is $\sqrt{x}$ always positive?
negative_passages.docid: 107296
negative_passages.text: How do I prove $\int_{-\infty}^{\infty}{\cos(x+a)\over (x+b)^2+1}dx={\pi\over e}{\cos(a-b)}$?
negative_passages.docid: 110113
negative_passages.text: Definite and Indefinite integral give different results for piecewise function