List questions from integration

Published on 12 Apr 2026 - 12:18

99

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Calculate $\int_S \vec{A} \cdot \hat{n} \ dS, S=\{x^2+y^2+z^2=R^2, z \ge 0\}$

Published on 15 May 2026 - 19:50

144

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Integral of $xyz$ over $B=\{0<x<1, 0<y, 0<z, 0<x+y<1\}$

Published on 16 Apr 2026 - 17:53

242

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Improper integral $\int_\pi^\infty\frac{\sin(x^2)}{\sqrt{x^2-\pi ^2}} \, dx$

Published on 15 Apr 2026 - 12:16

192

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For $a>0$ compute $\int_0^\infty \frac{\log x}{(a + x)^3}\,dx$

Published on 11 May 2026 - 8:46

568

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How to find the projected area in the x-y plane of an ellipsoidal cap rotated by angle $\beta$?

Published on 11 May 2026 - 7:36

727

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Integral using reverse chain rule

Published on 10 Apr 2026 - 21:35

2.3k

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Let $R$ be the triangle with vertices in $(0,0)$, $(0,1)$, $(1,0)$. Find: $\iint_R \exp((y-x)/( y+x))\, dx\,dy.$

Published on 16 Apr 2026 - 16:59

80

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Area of a circle by integration

Published on 14 Apr 2026 - 3:48

171

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Numerically accurate integration of Bessel function with exponentially scaling argument

Published on 11 May 2026 - 1:03

62

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Integral = f(a) + const

Published on 12 Apr 2026 - 10:35

124

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An alternative proof for $D_2 D_1 f(x) = D_1 D_2 f(x)$ when $f \in C^2$

Published on 17 Apr 2026 - 9:32

411

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An integral involving Bessel function of the first kind of the Sonine-Gegenbauer sort

Published on 11 May 2026 - 3:28

216

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Integrating a differential form

Published on 14 Apr 2026 - 8:55

393

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Integral Related to Exponential Function and Modified Bessel Function 1

Published on 11 May 2026 - 6:23

List Question

Truncated gaussian integral

Calculate $\int_S \vec{A} \cdot \hat{n} \ dS, S=\{x^2+y^2+z^2=R^2, z \ge 0\}$

Integral of $xyz$ over $B=\{0<x<1, 0<y, 0<z, 0<x+y<1\}$

Improper integral $\int_\pi^\infty\frac{\sin(x^2)}{\sqrt{x^2-\pi ^2}} \, dx$

For $a>0$ compute $\int_0^\infty \frac{\log x}{(a + x)^3}\,dx$

How to find the projected area in the x-y plane of an ellipsoidal cap rotated by angle $\beta$?

Integral using reverse chain rule

Let $R$ be the triangle with vertices in $(0,0)$, $(0,1)$, $(1,0)$. Find: $\iint_R \exp((y-x)/( y+x))\, dx\,dy.$

Area of a circle by integration

Numerically accurate integration of Bessel function with exponentially scaling argument

Integral = f(a) + const

An alternative proof for $D_2 D_1 f(x) = D_1 D_2 f(x)$ when $f \in C^2$

An integral involving Bessel function of the first kind of the Sonine-Gegenbauer sort

Integrating a differential form

Integral Related to Exponential Function and Modified Bessel Function 1

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