Question

On Simpson method

score 55 · Answer 1 · 2026-04-13 12:47:37

55

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On Simpson method

Published on 13 Apr 2026 - 12:47

score 118 · Answer 2 · 2026-04-16 20:23:51

If $f(x) =\sum_{n=0}^{\infty}(-1)^n a_n x^n$, then $\int_0^{\infty}\frac{f(x)}{1+x}dx = -\sum_{n=0}^{\infty}a'_n$

score 182 · Answer 3 · 2026-04-17 05:29:17

182

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Evaluating the integral $\int_{0}^{1} \frac{\ln(1+x^2)\arctan(x^2)dx}{1+x^2}$

Published on 17 Apr 2026 - 5:29

score 6.4k · Answer 4 · 2026-04-10 15:37:43

6.4k

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Interchange between Integral and Sup?

Published on 10 Apr 2026 - 15:37

score 306 · Answer 5 · 2026-05-17 08:17:13

306

Views

Intuitively, why does a unique value for the Henstock-Kurzweil (gauge) integral always exist?

Published on 17 May 2026 - 8:17

score 80 · Answer 6 · 2026-04-12 20:14:14

80

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Is there a rational function $f(x,a)$ such that $\int_0^1 f(x,a) dx = \frac{\ln(a)}{a}$

Published on 12 Apr 2026 - 20:14

score 154 · Answer 7 · 2026-04-16 22:48:43

154

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$f$ continuous on $[a,b]$, $f\geq 0$, $\int_{a}^{b}f=0$ then $f=0$

Published on 16 Apr 2026 - 22:48

score 179 · Answer 8 · 2026-04-10 16:13:34

179

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integral by part with distribution function.

Published on 10 Apr 2026 - 16:13

score 119 · Answer 9 · 2026-04-25 08:29:08

Let $C \in \mathbb{R}^n$ be a Jordan mensurable set of measure zero. Show that $\int_A \chi_C = 0$, for every closed rectangle $A \supset C$.

score 41 · Answer 10 · 2026-04-10 07:26:08

41

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A Question of integration based on partial fraction but my question is why does it work?

Published on 10 Apr 2026 - 7:26

score 440 · Answer 11 · 2026-05-14 12:48:48

440

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Help to evaluate $\int_{0}^{\pi}\sec(x)\sqrt{\tan\left(\frac{x}{2}\right)}\ln^n\tan\left(\frac{x}{2}\right)dx$

Published on 14 May 2026 - 12:48

score 196 · Answer 12 · 2026-04-16 14:32:37

196

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Integral by substitution of an absolute value of a derivative

Published on 16 Apr 2026 - 14:32

score 63 · Answer 13 · 2026-04-16 05:38:32

63

Views

Integral of exponential of complex expression $\int_{-\infty}^{\infty}\exp\left(-a\left[\left(y+ib/2a\right)^2-i^2b^2/4a^2\right]\right)dy$

Published on 16 Apr 2026 - 5:38

score 348 · Answer 14 · 2026-04-17 11:03:49

348

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A Messy Definite Integral $\int_0^1 (x\ln x)^n dx$ or a Trick?

Published on 17 Apr 2026 - 11:03

score 270 · Answer 15 · 2026-04-14 16:07:05

270

Views

Find the derivative of this integral function

Published on 14 Apr 2026 - 16:07

List Question

On Simpson method

If $f(x) =\sum_{n=0}^{\infty}(-1)^n a_n x^n$, then $\int_0^{\infty}\frac{f(x)}{1+x}dx = -\sum_{n=0}^{\infty}a'_n$

Evaluating the integral $\int_{0}^{1} \frac{\ln(1+x^2)\arctan(x^2)dx}{1+x^2}$

Interchange between Integral and Sup?

Intuitively, why does a unique value for the Henstock-Kurzweil (gauge) integral always exist?

Is there a rational function $f(x,a)$ such that $\int_0^1 f(x,a) dx = \frac{\ln(a)}{a}$

$f$ continuous on $[a,b]$, $f\geq 0$, $\int_{a}^{b}f=0$ then $f=0$

integral by part with distribution function.

Let $C \in \mathbb{R}^n$ be a Jordan mensurable set of measure zero. Show that $\int_A \chi_C = 0$, for every closed rectangle $A \supset C$.

A Question of integration based on partial fraction but my question is why does it work?

Help to evaluate $\int_{0}^{\pi}\sec(x)\sqrt{\tan\left(\frac{x}{2}\right)}\ln^n\tan\left(\frac{x}{2}\right)dx$

Integral by substitution of an absolute value of a derivative

Integral of exponential of complex expression $\int_{-\infty}^{\infty}\exp\left(-a\left[\left(y+ib/2a\right)^2-i^2b^2/4a^2\right]\right)dy$

A Messy Definite Integral $\int_0^1 (x\ln x)^n dx$ or a Trick?

Find the derivative of this integral function

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