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How to evaluate $\int_{0}^{\infty}\arctan (x^2)\sin(x^2)\mathrm dx$

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#calculus #integration #definite-integrals #improper-integrals #error-function
3.3k
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The integral $\int_0^\infty e^{-t^2}dt$

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#definite-integrals #exponential-function #error-function
340
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Why is the domain of the error function scaled by $\sqrt{2}$

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#probability-distributions #error-function
140
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Compute $\mathbb{P}(1<X^2+Y^2<2)$ when $(X,Y)$ is i.i.d. standard normal

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#probability #integration #normal-distribution #error-function
2k
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Non-trivial values of error function $\operatorname{erf}(x)$?

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#special-functions #error-function
407
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Rewriting the integral $\mathrm{erf}(x) = \frac{1}{\sqrt{\pi}} \int_{-x}^x e^{-t^2} dt.$

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#integration #special-functions #definite-integrals #error-function
3k
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Lagrange polynomial and derivative problem

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#polynomials #derivatives #matlab #error-function
226
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Evaluating $\int\frac{e^{-x^2}}{(1+2x^2)^2}dx$

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#integration #indefinite-integrals #error-function
211
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How to find the error term for multiple applications of a method

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#numerical-methods #error-function
281
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A puzzling inequality involving exp, erf, and log

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#inequality #error-function
2k
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integrals with error function

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#calculus #integration #definite-integrals #error-function
511
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Limits of complex error and gamma functions in the complex plane?

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#complex-analysis #limits #complex-numbers #gamma-function #error-function
1.2k
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Elegant proof for an inequality involving erf

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#inequality #error-function
1.2k
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truncation error - help

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#calculus #ordinary-differential-equations #numerical-methods #approximation #error-function
1.2k
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Grid Function Norm

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#normed-spaces #finite-differences #error-function

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