List questions from integration

Published on 11 Apr 2026 - 23:09

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$\int_{\mathbb R} f dt = 1 = \int_{\mathbb R} \frac f h dt \to h \equiv 1$?

Published on 20 Apr 2026 - 14:34

160

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Comparing $\lim_{n\to\infty}\int_{[0,1]}\frac{nx}{1+nx^2}$ and $\lim_{n\to\infty}\int_0^1 \frac{nx}{1+nx^2}dx$

Published on 16 Apr 2026 - 11:00

1.8k

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Showing that $\int_0^{\infty} e^{-ax} \frac {\sin x}{x} dx = \frac {\pi}{2} - \arctan (a)$ for any $a >0$

Published on 15 Apr 2026 - 1:20

61

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Integral of something like Gamma Function

Published on 16 Apr 2026 - 20:28

61

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Integrating $\int_0^{\pi/2} \sin x \cdot \cos^2 x \, dx$ by substitution

Published on 17 Apr 2026 - 0:00

71

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How to solve partial fractions in integrals

Published on 09 Apr 2026 - 10:20

64

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Change of variables in an integral

Published on 09 Apr 2026 - 6:32

52

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Determining the bounds of integration after switching to polar coordinates

Published on 11 Apr 2026 - 14:02

1.1k

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Convergence of beta function

Published on 13 Apr 2026 - 19:33

1.4k

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Double Integral Over Rhombus

Published on 09 Apr 2026 - 0:14

376

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If $\{f_n\}$ uniformly integral, then $\{ f_n - f \}$ uniformly integrable?

Published on 29 Apr 2026 - 12:48

46

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How can I solve this Iterated integral

Published on 29 Apr 2026 - 15:54

36

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integration of a exponential function

Published on 11 Apr 2026 - 0:18

150

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Fourier series for $f(x) = |x|$

Published on 10 Apr 2026 - 18:03

List Question

Integrating $\sqrt{\tan x}$

$\int_{\mathbb R} f dt = 1 = \int_{\mathbb R} \frac f h dt \to h \equiv 1$?

Comparing $\lim_{n\to\infty}\int_{[0,1]}\frac{nx}{1+nx^2}$ and $\lim_{n\to\infty}\int_0^1 \frac{nx}{1+nx^2}dx$

Showing that $\int_0^{\infty} e^{-ax} \frac {\sin x}{x} dx = \frac {\pi}{2} - \arctan (a)$ for any $a >0$

Integral of something like Gamma Function

Integrating $\int_0^{\pi/2} \sin x \cdot \cos^2 x \, dx$ by substitution

How to solve partial fractions in integrals

Change of variables in an integral

Determining the bounds of integration after switching to polar coordinates

Convergence of beta function

Double Integral Over Rhombus

If $\{f_n\}$ uniformly integral, then $\{ f_n - f \}$ uniformly integrable?

How can I solve this Iterated integral

integration of a exponential function

Fourier series for $f(x) = |x|$

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