Question

How to evaluate the following integral: $ \int_{0}^{\infty} \frac{dx}{(x + 1)\sqrt{(x + 1)^{3}a^2 + (1 - a^2)}}$?

score 143 · Answer 1 · 2026-04-16 07:13:37

143

Views

How to evaluate the following integral: $ \int_{0}^{\infty} \frac{dx}{(x + 1)\sqrt{(x + 1)^{3}a^2 + (1 - a^2)}}$?

Published on 16 Apr 2026 - 7:13

score 542 · Answer 2 · 2026-04-15 16:29:55

542

Views

Integral $\int_0^{\infty}\frac{e^{-x}-e^{-2x}}{x}dx$

Published on 15 Apr 2026 - 16:29

score 4.8k · Answer 3 · 2026-04-16 04:37:09

4.8k

Views

Calculate $\int_0^\infty \frac{\ln x}{1 + x^4} \mathrm{d}x$ using residue calculus

Published on 16 Apr 2026 - 4:37

score 544 · Answer 4 · 2026-04-19 00:59:14

544

Views

Prove $\sin a=\int_{-\infty}^{\infty}\cos(ax^2)\frac{\sinh(2ax)}{\sinh(\pi x)} \operatorname dx$

Published on 19 Apr 2026 - 0:59

score 151 · Answer 5 · 2026-04-15 17:48:42

151

Views

Evaluate the improper integral

Published on 15 Apr 2026 - 17:48

score 38 · Answer 6 · 2026-04-09 10:06:37

38

Views

Understanding improper integrals

Published on 09 Apr 2026 - 10:06

score 274 · Answer 7 · 2026-04-15 19:50:33

274

Views

Analytical solution of integral $x^{1+n}\exp(-x) \sin(x)$

Published on 15 Apr 2026 - 19:50

score 1.1k · Answer 8 · 2026-04-14 06:49:44

1.1k

Views

Fubini theorem for improper Riemann integral

Published on 14 Apr 2026 - 6:49

score 3.8k · Answer 9 · 2026-04-10 23:33:27

3.8k

Views

Complex Analysis - Cauchy Principal Value of Improper Integral

Published on 10 Apr 2026 - 23:33

score 415 · Answer 10 · 2026-04-16 17:44:45

415

Views

How to find this integral $I=\int_{0}^{+\infty}\frac{\{t\}(\{t\}-1)}{1+t^2}dx$?

Published on 16 Apr 2026 - 17:44

score 171 · Answer 11 · 2026-04-19 00:59:12

171

Views

Integral $\int_{0}^\infty\frac {(1-{{e}^{-i (q-p)t}})ln(|p^2-p_0^2|)}{(q-p)({{ p}}^{2}-{{p_1}}^{2})({{p}}^{2}-{{p_2} }^{2})}dp$

Published on 19 Apr 2026 - 0:59

score 94 · Answer 12 · 2026-04-16 13:46:16

94

Views

Mysterious inconsistency in an inhomogeneous linear 2nd order ODE with specified boundary values

Published on 16 Apr 2026 - 13:46

score 334 · Answer 13 · 2026-04-15 12:23:55

334

Views

Compute $\int_0^\infty\frac{x^a-x^b}{(1+x^a)(1+x^b)}\,dx$

Published on 15 Apr 2026 - 12:23

score 899 · Answer 14 · 2026-04-10 10:02:51

899

Views

Use Fourier transform to calculate double integral of harmonic function

Published on 10 Apr 2026 - 10:02

score 246 · Answer 15 · 2026-04-10 18:12:20

246

Views

A problem about the improper integral in Jensen's formula

Published on 10 Apr 2026 - 18:12

List Question

How to evaluate the following integral: $ \int_{0}^{\infty} \frac{dx}{(x + 1)\sqrt{(x + 1)^{3}a^2 + (1 - a^2)}}$?

Integral $\int_0^{\infty}\frac{e^{-x}-e^{-2x}}{x}dx$

Calculate $\int_0^\infty \frac{\ln x}{1 + x^4} \mathrm{d}x$ using residue calculus

Prove $\sin a=\int_{-\infty}^{\infty}\cos(ax^2)\frac{\sinh(2ax)}{\sinh(\pi x)} \operatorname dx$

Evaluate the improper integral

Understanding improper integrals

Analytical solution of integral $x^{1+n}\exp(-x) \sin(x)$

Fubini theorem for improper Riemann integral

Complex Analysis - Cauchy Principal Value of Improper Integral

How to find this integral $I=\int_{0}^{+\infty}\frac{\{t\}(\{t\}-1)}{1+t^2}dx$?

Integral $\int_{0}^\infty\frac {(1-{{e}^{-i (q-p)t}})ln(|p^2-p_0^2|)}{(q-p)({{ p}}^{2}-{{p_1}}^{2})({{p}}^{2}-{{p_2} }^{2})}dp$

Mysterious inconsistency in an inhomogeneous linear 2nd order ODE with specified boundary values

Compute $\int_0^\infty\frac{x^a-x^b}{(1+x^a)(1+x^b)}\,dx$

Use Fourier transform to calculate double integral of harmonic function

A problem about the improper integral in Jensen's formula

Trending Questions

Popular # Hahtags

Popular Questions