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Analytic function $f$ in $\overline{\mathbb{D}}$ satisfying $\left\lvert\,f'(\tfrac{1}{2})\,\right \rvert\leq 8.$

Possible values of $\int \frac{dz}{\sqrt{1-z^2}}$ over a closed curve in a region?

Integral $\int_{-1}^{1} \frac{1}{(1+u^2)^{n/2}} \exp{\left(-2\pi \frac{a^2+b^2}{1+u^2}\right)} \exp{\left(-4\pi i ab \frac{u}{1+u^2}\right)} du $

Integral of $e^{ix^2}$

Solve $\int _{x=0}^{\infty }\int _{t=-\infty }^{\infty }\exp \left(\frac{-a t^2+i b t}{3 t^2+1}+i t x\right)\frac{x}{3 t^2+1}\mathrm{d}t\mathrm{d}x$

Using complex analysis for evaluating summations: some general queries

Why do we use only upper half plane to do Residue Integration?

How to find $\int_{0}^{2\pi} \frac{\cos(n\theta)}{(\cos(\theta)+\alpha)^2}d\theta, \alpha>1$

Improper integrals with singularities on the REAL AXIS (Complex Variable)

Residues and poles proof

Why am I getting 2 different answers for Integral exp(ix) from 0 to Infinity

Find the principal value of $\int_{-\infty}^{\infty}\frac{1-\cos x}{x^2}\,\mathrm dx$

finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis

Showing that $\displaystyle\int_{-a}^{a} \frac{\sqrt{a^2-x^2}}{1+x^2}dx = \pi\left (\sqrt{a^2+1}-1\right)$.

$\int\limits_{-\infty}^\infty \left(f_T(\frac{x-\mu}{1+\Psi/2})-f_T(\frac{x+\mu}{1-\Psi/2})\right)\frac{x\gamma}{(x-x_{0})^{2}+\gamma^2/4}dx$

Deriving the Poisson Integral Formula from the Cauchy Integral Formula

Complex keyhole contour integral

New posts in complex-integration

How do I integrate these functions?

Approximating $\displaystyle \int_{-\infty}^{\infty}\frac{e^{R+i\,u}}{\ln(R+i\,u)}du$

Integrate complex conjugate

Analytic function $f$ in $\overline{\mathbb{D}}$ satisfying $\left\lvert\,f'(\tfrac{1}{2})\,\right \rvert\leq 8.$

Possible values of $\int \frac{dz}{\sqrt{1-z^2}}$ over a closed curve in a region?

Integral $\int_{-1}^{1} \frac{1}{(1+u^2)^{n/2}} \exp{\left(-2\pi \frac{a^2+b^2}{1+u^2}\right)} \exp{\left(-4\pi i ab \frac{u}{1+u^2}\right)} du $

Integral of $e^{ix^2}$

Solve $\int _{x=0}^{\infty }\int _{t=-\infty }^{\infty }\exp \left(\frac{-a t^2+i b t}{3 t^2+1}+i t x\right)\frac{x}{3 t^2+1}\mathrm{d}t\mathrm{d}x$

Using complex analysis for evaluating summations: some general queries

Why do we use only upper half plane to do Residue Integration?

How to find $\int_{0}^{2\pi} \frac{\cos(n\theta)}{(\cos(\theta)+\alpha)^2}d\theta, \alpha>1$

Improper integrals with singularities on the REAL AXIS (Complex Variable)

Residues and poles proof

Why am I getting 2 different answers for Integral exp(ix) from 0 to Infinity

Find the principal value of $\int_{-\infty}^{\infty}\frac{1-\cos x}{x^2}\,\mathrm dx$

finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis

Showing that $\displaystyle\int_{-a}^{a} \frac{\sqrt{a^2-x^2}}{1+x^2}dx = \pi\left (\sqrt{a^2+1}-1\right)$.

$\int\limits_{-\infty}^\infty \left(f_T(\frac{x-\mu}{1+\Psi/2})-f_T(\frac{x+\mu}{1-\Psi/2})\right)\frac{x\gamma}{(x-x_{0})^{2}+\gamma^2/4}dx$

Deriving the Poisson Integral Formula from the Cauchy Integral Formula

Complex keyhole contour integral