List questions from bounds-of-integration

Published on 25 Mar 2026 - 23:53

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Control $\int_0^\infty |\psi(x)|^2 dx$ by $\int_0^\infty \int_0^\infty K(x+y)\psi(x) \psi(y) dxdy$

Published on 25 Mar 2026 - 23:52

103

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Find the density of random variable $X+Y$ for $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$

Published on 25 Mar 2026 - 23:58

44

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For which lower bound of integration $a$ does a definite integral of $f(x)$ from $a$ to $x$ equal its antiderivative $F(x)$ with $C=0$?

Published on 25 Mar 2026 - 23:58

66

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Upper bound of the integral $\int_\delta^\infty t^m e^{-\nu t^2} dt$

Published on 25 Mar 2026 - 23:51

73

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How is this property of definite integral derived?

Published on 26 Mar 2026 - 1:34

528

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Double Integral $\int\limits_0^1\!\!\int\limits_0^1\frac{(xy)^s}{\sqrt{-\log(xy)}}\,dx\,dy$

Published on 20 Apr 2026 - 10:31

1.7k

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Integrating the bivariate normal distribution

Published on 22 Apr 2026 - 15:51

168

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Distances between $3$ random points on $[0,1]$

Published on 25 Mar 2026 - 23:51

95

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When does this integral exist?

Published on 05 Apr 2026 - 23:46

880

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Riemann Sums as definite integrals

Published on 25 Mar 2026 - 23:51

297

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How to calculate the floor integral $\int_0^{\pi}\lfloor\pi^2\cos^3x\rfloor\sin x\,dx$?

Published on 25 Mar 2026 - 23:58

139

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Evaluating $\int_{-\infty}^\infty 1-e^{-\frac{1}{x^2}}{\rm d}x$

Published on 25 Mar 2026 - 23:56

242

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Change of variables Double integral

Published on 05 Apr 2026 - 22:44

66

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Sum of two independent random variables: Inconsistent CDF

Published on 25 Mar 2026 - 23:53

List Question

How to get a CDF value from a PDF when the required CDF is not within the defined area?

Control $\int_0^\infty |\psi(x)|^2 dx$ by $\int_0^\infty \int_0^\infty K(x+y)\psi(x) \psi(y) dxdy$

Find the density of random variable $X+Y$ for $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$

For which lower bound of integration $a$ does a definite integral of $f(x)$ from $a$ to $x$ equal its antiderivative $F(x)$ with $C=0$?

Upper bound of the integral $\int_\delta^\infty t^m e^{-\nu t^2} dt$

How is this property of definite integral derived?

Double Integral $\int\limits_0^1\!\!\int\limits_0^1\frac{(xy)^s}{\sqrt{-\log(xy)}}\,dx\,dy$

Integrating the bivariate normal distribution

Distances between $3$ random points on $[0,1]$

When does this integral exist?

Riemann Sums as definite integrals

How to calculate the floor integral $\int_0^{\pi}\lfloor\pi^2\cos^3x\rfloor\sin x\,dx$?

Evaluating $\int_{-\infty}^\infty 1-e^{-\frac{1}{x^2}}{\rm d}x$

Change of variables Double integral

Sum of two independent random variables: Inconsistent CDF

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