List questions from integration

Published on 09 Apr 2026 - 10:36

136

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Evaluate the integral $\int_0^1 \frac{x^n}{x^a(1-x)^{1-a}}\mathrm{d}x$ for any integer $n$.

Published on 17 Apr 2026 - 13:48

30

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Pithy pedagogical examples of integrals from $\Omega \subset \mathbb{R}^{n}\to \mathbb{C}$

Published on 15 Apr 2026 - 4:03

285

Views

Quadrature Error bound of the Composite Midpoint Rule

Published on 10 Apr 2026 - 9:36

318

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Surface integral over the surface of a sphere

Published on 12 Apr 2026 - 14:54

116

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Advices on Symmetry of a four-fold Integral

Published on 09 Apr 2026 - 10:27

43

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Connection between summation and integration

Published on 08 Apr 2026 - 21:57

1.1k

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Period of the pendulum and taylor expansion

Published on 15 Apr 2026 - 12:11

1.2k

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Function $g(x)$, such that $\int_{\mathbb{R}} f(g(x))dx = \int_{\mathbb{R}} f(x)dx$ for all $f\in L^1(\mathbb{R})$

Published on 17 Apr 2026 - 11:12

1.2k

Views

Different definitions of closed differential form

Published on 12 Apr 2026 - 11:31

280

Views

Line integral over triangle using stokes theorem

Published on 30 Apr 2026 - 3:02

103

Views

Complex Trigonometric Integration using Residue formula

Published on 09 Apr 2026 - 8:45

199

Views

Conditions for Fourier cosine transform

Published on 12 Apr 2026 - 7:25

138

Views

Closed form for fixed $m$ to $\int\frac{dx}{x(x+1)(x+2)(x+3)...(x+m)}$

Published on 17 Apr 2026 - 0:23

1k

Views

What is integral of $e^{\cos^2x}dx$?

Published on 12 Apr 2026 - 0:42

List Question

Changing variable of integration

Evaluate the integral $\int_0^1 \frac{x^n}{x^a(1-x)^{1-a}}\mathrm{d}x$ for any integer $n$.

Pithy pedagogical examples of integrals from $\Omega \subset \mathbb{R}^{n}\to \mathbb{C}$

Quadrature Error bound of the Composite Midpoint Rule

Surface integral over the surface of a sphere

Advices on Symmetry of a four-fold Integral

Connection between summation and integration

Period of the pendulum and taylor expansion

Function $g(x)$, such that $\int_{\mathbb{R}} f(g(x))dx = \int_{\mathbb{R}} f(x)dx$ for all $f\in L^1(\mathbb{R})$

Different definitions of closed differential form

Line integral over triangle using stokes theorem

Complex Trigonometric Integration using Residue formula

Conditions for Fourier cosine transform

Closed form for fixed $m$ to $\int\frac{dx}{x(x+1)(x+2)(x+3)...(x+m)}$

What is integral of $e^{\cos^2x}dx$?

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