Newbetuts

Computation of $\int_{-\infty}^{\infty} \left(\frac{\sin x}{x}\right)^2e^{itx}dx$ for real $t$ [duplicate]

Hard! Integrate $\int_0^{\frac{\pi}{2}}\frac{x\ln|\cot (x-\frac{\pi}{4})|}{\sin^2x}{d}x=\frac{\pi^{2}}{4}+\frac{\pi}{2}\ln2$

Finding the inverse Laplace transform of $\arctan \left(\frac{1}{s} \right)$using contour integration

About the proof that $\int_0^\infty\frac{dx}{x^2+6x+8} =\frac12\log2$ via residue formula

Integral of $e^{-x^2}\cos(x^2)$ using residues

Evaluating $\int_{-\infty}^{\infty}\frac{\sin ax-a \sin x}{x^3(x^2+1)} \ dx$ using contour integration

Compute $\int_{0}^{\infty}\frac{x\sin 2x}{9+x^{2}} \, dx$

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

When a pole lies outside the circle of integration, what does Cauchy integral formula state?

Integrate $\int_0^\infty \frac{dx}{(x^2+2x+12)^2}$ using residues

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

Conjectured value of a difficult integral with Dedekind eta functions

What is contour integration

Why is the argument principle not working?

Proving $\int_0^1 \frac{(\ln(x))^5}{1+x} \mathrm{d}x = -\frac{31\pi^6}{252}$

New posts in contour-integration

Computation of $\int_{-\infty}^{\infty} \left(\frac{\sin x}{x}\right)^2e^{itx}dx$ for real $t$ [duplicate]

How do I integrate these functions?

Integral of inverse Laplace transform

How to evaluate $\int_0^\infty \frac{\cos(ax)}{1+x^N}dx$ for $a,N\in\mathbb{R}$ and $N> 1$

Dogbone contour integral/branch cuts/residue at infinity

An complex integral over circle

Hard! Integrate $\int_0^{\frac{\pi}{2}}\frac{x\ln|\cot (x-\frac{\pi}{4})|}{\sin^2x}{d}x=\frac{\pi^{2}}{4}+\frac{\pi}{2}\ln2$

Finding the inverse Laplace transform of $\arctan \left(\frac{1}{s} \right)$using contour integration

About the proof that $\int_0^\infty\frac{dx}{x^2+6x+8} =\frac12\log2$ via residue formula

Integral of $e^{-x^2}\cos(x^2)$ using residues

Evaluating $\int_{-\infty}^{\infty}\frac{\sin ax-a \sin x}{x^3(x^2+1)} \ dx$ using contour integration

Compute $\int_{0}^{\infty}\frac{x\sin 2x}{9+x^{2}} \, dx$

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

When a pole lies outside the circle of integration, what does Cauchy integral formula state?

Integrate $\int_0^\infty \frac{dx}{(x^2+2x+12)^2}$ using residues

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

Conjectured value of a difficult integral with Dedekind eta functions

What is contour integration

Why is the argument principle not working?

Proving $\int_0^1 \frac{(\ln(x))^5}{1+x} \mathrm{d}x = -\frac{31\pi^6}{252}$