Question

Proving the Fundamental Theorem of Algebra using Cauchy's theorem

score 326 · Answer 1 · 2026-04-11 04:16:33

326

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Proving the Fundamental Theorem of Algebra using Cauchy's theorem

Published on 11 Apr 2026 - 4:16

score 93 · Answer 2 · 2016-03-29 14:34:31

93

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Estimating integral $\int\limits_{C}\frac{z^3}{z^2-1}\text{d}z$

Published on 29 Mar 2016 - 14:34

score 189 · Answer 3 · 2026-04-04 07:37:26

189

Views

Evaluating the integral $\int_{-\infty}^{\infty} \frac{(1-ix)^{n-s_1}}{(1+ix)^{n+s_2}} dx$.

Published on 04 Apr 2026 - 7:37

score 317 · Answer 4 · 2026-04-04 07:34:57

317

Views

Piecewise continuous contours with discontinuity only at end points

Published on 04 Apr 2026 - 7:34

score 426 · Answer 5 · 2026-03-31 18:19:05

426

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Use a rectangular contour to evaluate the integral

Published on 31 Mar 2026 - 18:19

score 3.4k · Answer 6 · 2026-04-11 05:03:48

3.4k

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What is meant by the "contour of a function?"

Published on 11 Apr 2026 - 5:03

score 65 · Answer 7 · 2026-04-13 04:52:22

65

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Does the analytical form of the following integral exist?

Published on 13 Apr 2026 - 4:52

score 133 · Answer 8 · 2026-03-28 04:34:18

133

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Cauchy's Integral Formula - clarification on permissible closed curves

Published on 28 Mar 2026 - 4:34

score 79 · Answer 9 · 2026-04-10 19:40:05

79

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Parametrizing a complex path

Published on 10 Apr 2026 - 19:40

score 269 · Answer 10 · 2026-04-12 02:47:25

269

Views

Estimating derivative for an entire function

Published on 12 Apr 2026 - 2:47

score 595 · Answer 11 · 2026-04-12 11:05:36

595

Views

Cauchy's Integral Formula for calculating complex line integrals

Published on 12 Apr 2026 - 11:05

score 648 · Answer 12 · 2016-04-02 20:50:27

648

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Evaluate the integral using the theory of residues: $\int_0^{2\pi} \frac{(\cos \theta)^2 d \theta}{3-\sin \theta}$

Published on 02 Apr 2016 - 20:50

score 7.5k · Answer 13 · 2016-04-02 21:29:05

7.5k

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Evaluate the integral $\int_0^{2\pi} \frac{d \theta}{5-3 \cos \theta}$

Published on 02 Apr 2016 - 21:29

score 72 · Answer 14 · 2016-04-02 23:14:39

72

Views

Evaluate the integral using the theory of residues: $\int_{-\infty}^{\infty} \frac{dx}{(x^2+1)^2(x^2+16)}$

Published on 02 Apr 2016 - 23:14

score 49 · Answer 15 · 2026-04-08 11:27:48

49

Views

general procedure for contour integration of $\int_{0}^{\infty} \mathrm{Ai}(x)^{n} dx$

Published on 08 Apr 2026 - 11:27

List Question

Proving the Fundamental Theorem of Algebra using Cauchy's theorem

Estimating integral $\int\limits_{C}\frac{z^3}{z^2-1}\text{d}z$

Evaluating the integral $\int_{-\infty}^{\infty} \frac{(1-ix)^{n-s_1}}{(1+ix)^{n+s_2}} dx$.

Piecewise continuous contours with discontinuity only at end points

Use a rectangular contour to evaluate the integral

What is meant by the "contour of a function?"

Does the analytical form of the following integral exist?

Cauchy's Integral Formula - clarification on permissible closed curves

Parametrizing a complex path

Estimating derivative for an entire function

Cauchy's Integral Formula for calculating complex line integrals

Evaluate the integral using the theory of residues: $\int_0^{2\pi} \frac{(\cos \theta)^2 d \theta}{3-\sin \theta}$

Evaluate the integral $\int_0^{2\pi} \frac{d \theta}{5-3 \cos \theta}$

Evaluate the integral using the theory of residues: $\int_{-\infty}^{\infty} \frac{dx}{(x^2+1)^2(x^2+16)}$

general procedure for contour integration of $\int_{0}^{\infty} \mathrm{Ai}(x)^{n} dx$

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