Question

If $dx$ is just syntax and not an infinitesimal then why do we apply operations to it?

score 450 · Answer 1 · 2026-04-09 02:01:34

450

Views

If $dx$ is just syntax and not an infinitesimal then why do we apply operations to it?

Published on 09 Apr 2026 - 2:01

score 81 · Answer 2 · 2026-04-12 04:42:10

81

Views

What is the explanation of taking $dx$ to right hand side if $\frac{d}{dx}$ is an operator?

Published on 12 Apr 2026 - 4:42

score 30 · Answer 3 · 2026-04-09 03:47:09

30

Views

Simplify $h(t) = \int_{0}^{1/t}f(u)\times dg^{(n)}\left(\frac{1}{u}\right)$

Published on 09 Apr 2026 - 3:47

score 389 · Answer 4 · 2026-03-25 06:13:26

389

Views

How to calculate the fourier series coefficients of $(f(x))^m?$ knowing the Fourier series of $f$?

Published on 25 Mar 2026 - 6:13

score 89 · Answer 5 · 2026-04-12 06:51:53

89

Views

What is the integral of $a^{x-1}$?

Published on 12 Apr 2026 - 6:51

score 126 · Answer 6 · 2026-04-11 11:06:55

126

Views

$\lim_{x\to \infty}e^{-x^2}\int_x^{x+1/x}e^{t^2}dt$

Published on 11 Apr 2026 - 11:06

score 1.6k · Answer 7 · 2026-03-25 06:18:52

1.6k

Views

$\int_0^\infty e^{2ax-x^2}\,dx$

Published on 25 Mar 2026 - 6:18

score 32 · Answer 8 · 2026-04-11 21:51:33

32

Views

Show that the following set is a null set

Published on 11 Apr 2026 - 21:51

score 323 · Answer 9 · 2026-04-06 06:10:15

323

Views

Random number generator with given density:

Published on 06 Apr 2026 - 6:10

score 43 · Answer 10 · 2026-04-11 01:28:44

43

Views

Solve $\int(1+\frac{1}{x})^{2}\frac{dx}{x^2}$

Published on 11 Apr 2026 - 1:28

score 1.5k · Answer 11 · 2018-01-28 18:06:56

1.5k

Views

How to integrate $\int\frac{1}{\sqrt{9-x^2}}dx$?

Published on 28 Jan 2018 - 18:06

score 88 · Answer 12 · 2026-03-29 07:19:34

88

Views

Why is $\int_{-\infty}^{\infty}\left\lvert\log\frac{a^2+x^2}{b^2+x^2}\right\rvert dx=2\pi(b-a)$?

Published on 29 Mar 2026 - 7:19

score 185 · Answer 13 · 2026-03-29 06:08:03

185

Views

Choosing correct contour for $\int_{-\infty}^{\infty}\frac{x-\sin x}{x^3}\,dx$

Published on 29 Mar 2026 - 6:08

score 94 · Answer 14 · 2026-03-25 06:13:27

94

Views

Let $f: [0,1] \to R$ be Riemann integrable, and let $a > 0$ be a real number. Show that $ f({x\over a})$ is Riemann integrable on $[0,a]$

Published on 25 Mar 2026 - 6:13

score 158 · Answer 15 · 2026-04-11 18:52:19

158

Views

If a function preserves integrability, must it have linear growth?

Published on 11 Apr 2026 - 18:52

List Question

If $dx$ is just syntax and not an infinitesimal then why do we apply operations to it?

What is the explanation of taking $dx$ to right hand side if $\frac{d}{dx}$ is an operator?

Simplify $h(t) = \int_{0}^{1/t}f(u)\times dg^{(n)}\left(\frac{1}{u}\right)$

How to calculate the fourier series coefficients of $(f(x))^m?$ knowing the Fourier series of $f$?

What is the integral of $a^{x-1}$?

$\lim_{x\to \infty}e^{-x^2}\int_x^{x+1/x}e^{t^2}dt$

$\int_0^\infty e^{2ax-x^2}\,dx$

Show that the following set is a null set

Random number generator with given density:

Solve $\int(1+\frac{1}{x})^{2}\frac{dx}{x^2}$

How to integrate $\int\frac{1}{\sqrt{9-x^2}}dx$?

Why is $\int_{-\infty}^{\infty}\left\lvert\log\frac{a^2+x^2}{b^2+x^2}\right\rvert dx=2\pi(b-a)$?

Choosing correct contour for $\int_{-\infty}^{\infty}\frac{x-\sin x}{x^3}\,dx$

Let $f: [0,1] \to R$ be Riemann integrable, and let $a > 0$ be a real number. Show that $ f({x\over a})$ is Riemann integrable on $[0,a]$

If a function preserves integrability, must it have linear growth?

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