List questions from contour-integration

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Using Contour Integrals to Calculate Other Integrals

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Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right) \mathrm dx$

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Complex Integration poles real axis

Published on 11 Apr 2026 - 23:34

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Question regarding integral of the form $\oint\limits _{s_{R}}e^{i\cdot k\cdot z}f\left(z\right)dz$.

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Evaluate $\int\limits_0^\pi \frac{\sin^2x}{2-\cos x}\ \mathrm dx$ by complex methods

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Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$

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Complex Analysis: Principle Part and Evaluating Integrals

Published on 11 Apr 2026 - 9:00

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Integration of exponential with square

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Evaluate $I=\int_{\gamma (0,1)}\frac{zdz}{(z^2-4z+1)^2}$ using Taylor's Theorem

Published on 17 Apr 2026 - 4:33

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Compute $\int_{|z|=1}\frac{\log z}{z}dz$.

Published on 15 Apr 2026 - 21:19

646

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Applications of the Residue Theorem to the Evaluation of Integrals and Sums

Published on 13 Apr 2026 - 5:00

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Evaluating series by contour integration, the residue theorem, and cotangent

Published on 15 Apr 2026 - 15:34

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For which $L^p$ is $\pi=3.2$?

Published on 16 Apr 2026 - 12:23

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Integration of rational function on Banach algebra

Published on 09 Apr 2026 - 22:07

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Residue/Contour integration problem

Using Contour Integrals to Calculate Other Integrals

Integral $\int_{-1}^1\frac1x\sqrt{\frac{1+x}{1-x}}\ln\left(\frac{2\,x^2+2\,x+1}{2\,x^2-2\,x+1}\right) \mathrm dx$

Complex Integration poles real axis

Question regarding integral of the form $\oint\limits _{s_{R}}e^{i\cdot k\cdot z}f\left(z\right)dz$.

Evaluate $\int\limits_0^\pi \frac{\sin^2x}{2-\cos x}\ \mathrm dx$ by complex methods

Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$

Complex Analysis: Principle Part and Evaluating Integrals

Integration of exponential with square

Evaluate $I=\int_{\gamma (0,1)}\frac{zdz}{(z^2-4z+1)^2}$ using Taylor's Theorem

Compute $\int_{|z|=1}\frac{\log z}{z}dz$.

Applications of the Residue Theorem to the Evaluation of Integrals and Sums

Evaluating series by contour integration, the residue theorem, and cotangent

For which $L^p$ is $\pi=3.2$?

Integration of rational function on Banach algebra

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