Question

Why can I make the substitution $x = \sin \theta$?

score 1k · Answer 1 · 2026-05-05 14:43:17

1k

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Why can I make the substitution $x = \sin \theta$?

Published on 05 May 2026 - 14:43

score 411 · Answer 2 · 2026-04-24 22:28:57

411

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Computing Integral of $\frac{\sin^n x}{x^n}$

Published on 24 Apr 2026 - 22:28

score 167 · Answer 3 · 2026-04-12 18:47:32

167

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Counter examples for closed and bounded sets

Published on 12 Apr 2026 - 18:47

score 77 · Answer 4 · 2026-04-15 03:58:47

77

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If $f$ is an $L_1$ function, how to prove this integration identity by substitution?

Published on 15 Apr 2026 - 3:58

score 44 · Answer 5 · 2026-04-17 16:04:54

44

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Proving convergence of $(a_n)$ given $|a_n-a_{n-1}|<2^{-n}$ for all $n \in \mathbb{N}$

Published on 17 Apr 2026 - 16:04

score 288 · Answer 6 · 2026-05-15 05:30:21

288

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Did I find counter-example to "function continuous iff inverse image of every closed set is a closed set"

Published on 15 May 2026 - 5:30

score 864 · Answer 7 · 2026-05-10 14:48:44

864

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Prove that $a_n X_n \to aX$ in probability

Published on 10 May 2026 - 14:48

score 1.1k · Answer 8 · 2026-04-13 03:39:10

1.1k

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convert second order coupled equations to first order

Published on 13 Apr 2026 - 3:39

score 91 · Answer 9 · 2026-04-18 09:18:24

91

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The limit of a product

Published on 18 Apr 2026 - 9:18

score 66 · Answer 10 · 2026-05-10 18:59:23

66

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How to get the following approximation for the following function?

Published on 10 May 2026 - 18:59

score 47 · Answer 11 · 2026-04-12 05:35:09

47

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Boundedness of real numbers.

Published on 12 Apr 2026 - 5:35

score 174 · Answer 12 · 2026-05-13 19:30:43

174

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A Sobolev map with smooth weak derivative is smooth?

Published on 13 May 2026 - 19:30

score 736 · Answer 13 · 2026-05-15 09:37:47

736

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Proving that for $E_1\subset E_2\subset...\ \lim\limits_{n\rightarrow\infty}E_n=\bigcup\limits_{n=0}^{\infty}E_n$ and working with measure/limit/sets

Published on 15 May 2026 - 9:37

score 1k · Answer 14 · 2026-05-15 10:47:57

1k

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Geometric representation of Euler-Maclaurin Summation Formula

Published on 15 May 2026 - 10:47

score 70 · Answer 15 · 2026-05-10 16:35:10

70

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Convergence of function series $f_n(x) = e^n 1_{[0,\frac{1}{n}]}$ in Lp spaces

Published on 10 May 2026 - 16:35

List Question

Why can I make the substitution $x = \sin \theta$?

Computing Integral of $\frac{\sin^n x}{x^n}$

Counter examples for closed and bounded sets

If $f$ is an $L_1$ function, how to prove this integration identity by substitution?

Proving convergence of $(a_n)$ given $|a_n-a_{n-1}|<2^{-n}$ for all $n \in \mathbb{N}$

Did I find counter-example to "function continuous iff inverse image of every closed set is a closed set"

Prove that $a_n X_n \to aX$ in probability

convert second order coupled equations to first order

The limit of a product

How to get the following approximation for the following function?

Boundedness of real numbers.

A Sobolev map with smooth weak derivative is smooth?

Proving that for $E_1\subset E_2\subset...\ \lim\limits_{n\rightarrow\infty}E_n=\bigcup\limits_{n=0}^{\infty}E_n$ and working with measure/limit/sets

Geometric representation of Euler-Maclaurin Summation Formula

Convergence of function series $f_n(x) = e^n 1_{[0,\frac{1}{n}]}$ in Lp spaces

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