Question

Two Visibly Dissimilar Integrals of the Same Integrand

score 169 · Answer 1 · 2026-04-14 19:50:40

169

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Two Visibly Dissimilar Integrals of the Same Integrand

Published on 14 Apr 2026 - 19:50

score 287 · Answer 2 · 2026-04-17 10:21:33

287

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Evaluate $\int_{1}^{\infty}\frac{\operatorname{Li}_3(-x)\ln(x-1)}{1+x^2}\text{d}x$

Published on 17 Apr 2026 - 10:21

score 56 · Answer 3 · 2026-04-16 08:47:29

56

Views

Compute $\int_{\mathbb R} (x^2+a^2)^{-s} dx$

Published on 16 Apr 2026 - 8:47

score 100 · Answer 4 · 2026-04-17 08:21:42

100

Views

Solving $\int_{\mathbb R} \frac{(x^2+a)^{-s}}{x^2+1} dx$

Published on 17 Apr 2026 - 8:21

score 232 · Answer 5 · 2026-04-16 10:58:24

232

Views

Is is possible to evaluate $\int \frac{1-\text{sech}(\pi x)}{x} \, dx$ to some reasonable form?

Published on 16 Apr 2026 - 10:58

score 89 · Answer 6 · 2026-04-17 11:12:16

89

Views

Solving $\int_{\mathbb R} \frac{(x^2+a^2)^{1-2s}}{(x^2+1)^{1-s}} dx$

Published on 17 Apr 2026 - 11:12

score 754 · Answer 7 · 2026-04-17 11:58:26

754

Views

Evaluate $\int\frac{3\cot3x-\cot x}{\tan x-3\tan3x}\,dx$

Published on 17 Apr 2026 - 11:58

score 35 · Answer 8 · 2026-04-13 09:03:44

35

Views

Indefinite Integration of power function in division form

Published on 13 Apr 2026 - 9:03

score 885 · Answer 9 · 2026-04-16 16:16:07

885

Views

Evaluate $\int \frac{(x^2-1)(x^2+3)}{x^4-2x^3-6x-1}dx$ using elementary methods

Published on 16 Apr 2026 - 16:16

score 129 · Answer 10 · 2026-04-13 02:19:25

129

Views

Integral expression for $\left( r^2+(z \pm h)^2 \right)^{-\frac{1}{2}} $ using complex numbers

Published on 13 Apr 2026 - 2:19

score 106 · Answer 11 · 2026-04-10 04:04:29

106

Views

Integrating inverse of a polynomial using valid method gives wrong result

Published on 10 Apr 2026 - 4:04

score 170 · Answer 12 · 2026-04-16 08:33:08

170

Views

Asymptotic behavior of $\int_0^\pi\int_0^R e^{-at\cos\theta}\sin^2\theta J_0(at\sin\theta)\sin\theta \, \mathrm{d}t\mathrm{d}\theta$ as $R \to \infty$

Published on 16 Apr 2026 - 8:33

score 85 · Answer 13 · 2026-04-11 02:16:05

85

Views

How i can calculate the integral?

Published on 11 Apr 2026 - 2:16

score 1.6k · Answer 14 · 2026-04-11 19:04:22

1.6k

Views

Bacteria Problem: population starts at 7000, and growth rate in bacteria per hour is given

Published on 11 Apr 2026 - 19:04

score 29 · Answer 15 · 2026-04-15 08:24:12

29

Views

Solution of an integral equation of the form $ \int_0^\infty K(r,z,t) f(t) \, \mathrm{d}t = h(r,z) $

Published on 15 Apr 2026 - 8:24

List Question

Two Visibly Dissimilar Integrals of the Same Integrand

Evaluate $\int_{1}^{\infty}\frac{\operatorname{Li}_3(-x)\ln(x-1)}{1+x^2}\text{d}x$

Compute $\int_{\mathbb R} (x^2+a^2)^{-s} dx$

Solving $\int_{\mathbb R} \frac{(x^2+a)^{-s}}{x^2+1} dx$

Is is possible to evaluate $\int \frac{1-\text{sech}(\pi x)}{x} \, dx$ to some reasonable form?

Solving $\int_{\mathbb R} \frac{(x^2+a^2)^{1-2s}}{(x^2+1)^{1-s}} dx$

Evaluate $\int\frac{3\cot3x-\cot x}{\tan x-3\tan3x}\,dx$

Indefinite Integration of power function in division form

Evaluate $\int \frac{(x^2-1)(x^2+3)}{x^4-2x^3-6x-1}dx$ using elementary methods

Integral expression for $\left( r^2+(z \pm h)^2 \right)^{-\frac{1}{2}} $ using complex numbers

Integrating inverse of a polynomial using valid method gives wrong result

Asymptotic behavior of $\int_0^\pi\int_0^R e^{-at\cos\theta}\sin^2\theta J_0(at\sin\theta)\sin\theta \, \mathrm{d}t\mathrm{d}\theta$ as $R \to \infty$

How i can calculate the integral?

Bacteria Problem: population starts at 7000, and growth rate in bacteria per hour is given

Solution of an integral equation of the form $ \int_0^\infty K(r,z,t) f(t) \, \mathrm{d}t = h(r,z) $

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