query: An interesting identity for Dirichlet-like integrals
positive_passages.docid: 16053
positive_passages.text: Generalized Fresnel integral $\int_0^\infty \sin x^p \, {\rm d}x$
negative_passages.docid: 6571
negative_passages.text: A Challenging Integral $\int_0^{\frac{\pi}{2}}\log \left( x^2+\log^2(\cos x)\right)dx$
negative_passages.docid: 92777
negative_passages.text: Riemann integrabilty of an indicator function
negative_passages.docid: 146349
negative_passages.text: $\int_0^\infty \frac{\ln\left(1+x-\sqrt{2x}\right)}{1+x^2}\,dx$
negative_passages.docid: 66852
negative_passages.text: Integral $ \int_{-\infty}^{\infty}\frac{x^{2}}{\cosh\left(x\right)}\,{\rm d}x $
negative_passages.docid: 75577
negative_passages.text: Double integral over a typical region.
negative_passages.docid: 57838
negative_passages.text: Dirichlet approximation theorem proof
negative_passages.docid: 90245
negative_passages.text: Computing $\int^1_0 \frac{p^2-1}{\text{ln } p}dp$
negative_passages.docid: 113068
negative_passages.text: Identity of moment-generating functions
negative_passages.docid: 131925
negative_passages.text: Big integral in lmodern
negative_passages.docid: 134558
negative_passages.text: Visual references for the Riemann-Stieltjes integral.
negative_passages.docid: 108560
negative_passages.text: Proof of a Gaussian Integral property
negative_passages.docid: 87149
negative_passages.text: Prove directly from the definition of the Ito's integral
negative_passages.docid: 27705
negative_passages.text: Proof of $\int_{[0,\infty)}pt^{p-1}\mu(\{x:|f(x)|\geq t\})d\mu(t)=\int_{[0,\infty)}\mu(\{x:|f(x)|^p\geq s\})d\mu(s)$
negative_passages.docid: 143240
negative_passages.text: Convergence of Riemann sums for improper integrals
negative_passages.docid: 66902
negative_passages.text: Prove that $\int_{-\infty}^{\infty} \frac{e^{2x}-e^x}{x (1+e^{2x})(1+e^{x})}\mathrm{d}x=\log 2$
negative_passages.docid: 98913
negative_passages.text: Sign in $\Delta U= -\int\vec{F}\cdot d\vec{l}$