Question

How to evaluate $\int_{0}^{+\infty} \cos(x^2)\cos(x)dx$

score 164 · Answer 1 · 2026-04-14 04:13:05

164

Views

How to evaluate $\int_{0}^{+\infty} \cos(x^2)\cos(x)dx$

Published on 14 Apr 2026 - 4:13

score 501 · Answer 2 · 2026-04-16 14:25:45

501

Views

Prove $\int_0^\infty\Big|\Gamma\Big(\frac13+\frac{i\alpha}{\pi}\Big)\Big|^6\alpha \sinh\alpha~d\alpha=\frac{\pi\sqrt{27}}{4}\Gamma^9\Big(\frac23\Big)$

Published on 16 Apr 2026 - 14:25

score 167 · Answer 3 · 2026-04-16 22:44:42

167

Views

Evaluate $\iint_{x^2+y^2 < 1} \frac{dxdy}{x+iy-w}$ using the residue theorem

Published on 16 Apr 2026 - 22:44

score 235 · Answer 4 · 2026-04-15 04:55:43

235

Views

Use residues to find $\oint_C \frac{dz}{z^4 + 4}$, where $C$ is the circle $|z + 1 - i| = 1$, discrepancy between solutions

Published on 15 Apr 2026 - 4:55

score 446 · Answer 5 · 2026-04-13 18:34:13

446

Views

Computing the residue of $\frac{1}{(1-e^{-z})^n}$ at $z=0$

Published on 13 Apr 2026 - 18:34

score 88 · Answer 6 · 2026-03-26 18:57:10

88

Views

Asymptotic behavior of the inverse z-transform of a complicated generating function

Published on 26 Mar 2026 - 18:57

score 92 · Answer 7 · 2026-04-13 06:02:42

92

Views

Inconsistency with Simple Contour Integrals

Published on 13 Apr 2026 - 6:02

score 302 · Answer 8 · 2026-04-16 17:17:44

302

Views

Evaluate $\int_{-\infty}^\infty \frac{\cos x}{1-x^4}dx.$

Published on 16 Apr 2026 - 17:17

score 97 · Answer 9 · 2026-04-16 13:26:31

97

Views

Contour integration + paramerization of $\frac{1}{x^4+1}$

Published on 16 Apr 2026 - 13:26

score 93 · Answer 10 · 2026-04-17 12:46:46

93

Views

How to find the residue of $\frac{\mathrm{e}^{z}}{\sin(2\mathrm{i}z)}$

Published on 17 Apr 2026 - 12:46

score 75 · Answer 11 · 2026-04-14 12:31:40

75

Views

Satisfying the Cauchy-Riemann theorem

Published on 14 Apr 2026 - 12:31

score 290 · Answer 12 · 2026-04-09 11:11:08

290

Views

Contour integration . Biot-Savart, maths

Published on 09 Apr 2026 - 11:11

score 325 · Answer 13 · 2026-04-13 08:26:59

325

Views

Computing Residues of Contour Integral involving Gamma Function

Published on 13 Apr 2026 - 8:26

score 126 · Answer 14 · 2026-04-17 03:33:19

126

Views

By means of local Cauchy theorem find: $(i)\int_{|z|=1}\sqrt{9-z^2}dz; (ii) \int_{|z|=1}(z^2+2z)^{-1}dz; (iii)\int_{|z+i|=3/2}(z^4+z^2)^{-1}$

Published on 17 Apr 2026 - 3:33

score 232 · Answer 15 · 2026-04-14 06:30:19

232

Views

Proof that the arc goes to zero in Inverse Laplace transform of $\mathcal{L}^{-1}\left\{\sqrt{s}\right\}$

Published on 14 Apr 2026 - 6:30

List Question

How to evaluate $\int_{0}^{+\infty} \cos(x^2)\cos(x)dx$

Prove $\int_0^\infty\Big|\Gamma\Big(\frac13+\frac{i\alpha}{\pi}\Big)\Big|^6\alpha \sinh\alpha~d\alpha=\frac{\pi\sqrt{27}}{4}\Gamma^9\Big(\frac23\Big)$

Evaluate $\iint_{x^2+y^2 < 1} \frac{dxdy}{x+iy-w}$ using the residue theorem

Use residues to find $\oint_C \frac{dz}{z^4 + 4}$, where $C$ is the circle $|z + 1 - i| = 1$, discrepancy between solutions

Computing the residue of $\frac{1}{(1-e^{-z})^n}$ at $z=0$

Asymptotic behavior of the inverse z-transform of a complicated generating function

Inconsistency with Simple Contour Integrals

Evaluate $\int_{-\infty}^\infty \frac{\cos x}{1-x^4}dx.$

Contour integration + paramerization of $\frac{1}{x^4+1}$

How to find the residue of $\frac{\mathrm{e}^{z}}{\sin(2\mathrm{i}z)}$

Satisfying the Cauchy-Riemann theorem

Contour integration . Biot-Savart, maths

Computing Residues of Contour Integral involving Gamma Function

By means of local Cauchy theorem find: $(i)\int_{|z|=1}\sqrt{9-z^2}dz; (ii) \int_{|z|=1}(z^2+2z)^{-1}dz; (iii)\int_{|z+i|=3/2}(z^4+z^2)^{-1}$

Proof that the arc goes to zero in Inverse Laplace transform of $\mathcal{L}^{-1}\left\{\sqrt{s}\right\}$

Trending Questions

Popular # Hahtags

Popular Questions