List questions from integration

Published on 09 Apr 2026 - 18:54

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Let $f(x,y)=1/(x^2+y^2)$ for $(x,y)\neq 0$. Determine whether $f$ is integrable over $U-0$ and over $\mathbb{R}^2-\bar{U}$; if so, evaluate.

Published on 16 Apr 2026 - 12:29

119

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Minimum value of $ f(x)= \int_{0}^1 |t-x|^3dt $

Published on 15 Apr 2026 - 23:59

53

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Proving existence of following integral

Published on 29 Apr 2026 - 9:27

89

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Integrating function of log

Published on 13 Apr 2026 - 6:11

42

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Evaluate the integral of $\int_0^\infty \frac{k}{(1+x)^4} \, dx$

Published on 16 Apr 2026 - 20:01

80

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Integration of $f(-x)$

Published on 11 Apr 2026 - 20:26

1k

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Double integration of trig function

Published on 23 Apr 2026 - 10:56

978

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Riemann-Stieltjes Integration by Parts Proof

Published on 15 Apr 2026 - 5:51

60

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Evaluating $\int_{x=1}^{x=2}\int_{y=0}^{y=x}\frac{1}{(x^2+y^2)^{3/2}}\,\mathrm{d}y\,\mathrm{d}x$ using polar coordinates

Published on 17 Apr 2026 - 13:48

104

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Definite integral $\int_{y}^{\infty}$ involving two Meijer's G function

Published on 15 Apr 2026 - 10:26

3.3k

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Integral $\sqrt{1+(dy / dx)^2}= d^2y /dx^2$

Published on 17 Apr 2026 - 7:23

56

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rearrange f(x) for easier integration

Published on 13 Apr 2026 - 10:48

76

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Best Fit Sphere of a revolution conic

Published on 12 Apr 2026 - 12:43

1.3k

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Understanding Green's Theorem Proof

Published on 10 Apr 2026 - 20:48

List Question

Proof of Hausdorff's moment theorem using Fourier's series

Let $f(x,y)=1/(x^2+y^2)$ for $(x,y)\neq 0$. Determine whether $f$ is integrable over $U-0$ and over $\mathbb{R}^2-\bar{U}$; if so, evaluate.

Minimum value of $ f(x)= \int_{0}^1 |t-x|^3dt $

Proving existence of following integral

Integrating function of log

Evaluate the integral of $\int_0^\infty \frac{k}{(1+x)^4} \, dx$

Integration of $f(-x)$

Double integration of trig function

Riemann-Stieltjes Integration by Parts Proof

Evaluating $\int_{x=1}^{x=2}\int_{y=0}^{y=x}\frac{1}{(x^2+y^2)^{3/2}}\,\mathrm{d}y\,\mathrm{d}x$ using polar coordinates

Definite integral $\int_{y}^{\infty}$ involving two Meijer's G function

Integral $\sqrt{1+(dy / dx)^2}= d^2y /dx^2$

rearrange f(x) for easier integration

Best Fit Sphere of a revolution conic

Understanding Green's Theorem Proof

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