![cauchy principal value - Contour integral $\int_{C_\varepsilon}\frac{e^{i\alpha\omega}}{\omega^2}\mathrm{d}\omega$ - Mathematics Stack Exchange cauchy principal value - Contour integral $\int_{C_\varepsilon}\frac{e^{i\alpha\omega}}{\omega^2}\mathrm{d}\omega$ - Mathematics Stack Exchange](https://i.stack.imgur.com/8BSJP.jpg)
cauchy principal value - Contour integral $\int_{C_\varepsilon}\frac{e^{i\alpha\omega}}{\omega^2}\mathrm{d}\omega$ - Mathematics Stack Exchange
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complex analysis - Use Cauchy's theorem to prove $\int_0^\infty\sin(x^2)\,dx=\int_0^\infty\cos(x^2)\,dx=\frac{\sqrt{2\pi}}{4}$. - Mathematics Stack Exchange
![complex analysis - how can the answer be the same even though the integral isn't? - Mathematics Stack Exchange complex analysis - how can the answer be the same even though the integral isn't? - Mathematics Stack Exchange](https://i.stack.imgur.com/Dp6GX.png)
complex analysis - how can the answer be the same even though the integral isn't? - Mathematics Stack Exchange
![integration - Calculate integral of a closed curve without Green's Theorem - Mathematics Stack Exchange integration - Calculate integral of a closed curve without Green's Theorem - Mathematics Stack Exchange](https://i.stack.imgur.com/RIvSX.png)
integration - Calculate integral of a closed curve without Green's Theorem - Mathematics Stack Exchange
![complex analysis - Calculating an integral without using the Cauchy Integral Formula - Mathematics Stack Exchange complex analysis - Calculating an integral without using the Cauchy Integral Formula - Mathematics Stack Exchange](https://i.stack.imgur.com/nsjXm.jpg)
complex analysis - Calculating an integral without using the Cauchy Integral Formula - Mathematics Stack Exchange
![probability theory - Why is this estimator with ill-defined moments useful? And why is the Cauchy PV of its expectation integral a reasonable measure of center? - Mathematics Stack Exchange probability theory - Why is this estimator with ill-defined moments useful? And why is the Cauchy PV of its expectation integral a reasonable measure of center? - Mathematics Stack Exchange](https://i.stack.imgur.com/hfwrq.jpg)
probability theory - Why is this estimator with ill-defined moments useful? And why is the Cauchy PV of its expectation integral a reasonable measure of center? - Mathematics Stack Exchange
![calculus - Solving an integral using a keyhole based integral (text given) - Mathematics Stack Exchange calculus - Solving an integral using a keyhole based integral (text given) - Mathematics Stack Exchange](https://i.stack.imgur.com/U65As.png)
calculus - Solving an integral using a keyhole based integral (text given) - Mathematics Stack Exchange
![integration - How can I find the Cauchy Principal Value of this integral using complex analysis? - Mathematics Stack Exchange integration - How can I find the Cauchy Principal Value of this integral using complex analysis? - Mathematics Stack Exchange](https://i.stack.imgur.com/MG9hd.png)
integration - How can I find the Cauchy Principal Value of this integral using complex analysis? - Mathematics Stack Exchange
![contour integration - Calculate $\int_{-\infty}^\infty \frac{\cos{(kx)}}{\sqrt{x^2+a^2}} \,dx$ - Mathematics Stack Exchange contour integration - Calculate $\int_{-\infty}^\infty \frac{\cos{(kx)}}{\sqrt{x^2+a^2}} \,dx$ - Mathematics Stack Exchange](https://i.stack.imgur.com/OtBT3.jpg)
contour integration - Calculate $\int_{-\infty}^\infty \frac{\cos{(kx)}}{\sqrt{x^2+a^2}} \,dx$ - Mathematics Stack Exchange
![complex analysis - Is Cauchy's integral theorem affected by integral direction? - Mathematics Stack Exchange complex analysis - Is Cauchy's integral theorem affected by integral direction? - Mathematics Stack Exchange](https://i.stack.imgur.com/fFcT3.jpg)
complex analysis - Is Cauchy's integral theorem affected by integral direction? - Mathematics Stack Exchange
![complex analysis - Intermediate step in proving Cauchy's Integral Formula - Mathematics Stack Exchange complex analysis - Intermediate step in proving Cauchy's Integral Formula - Mathematics Stack Exchange](https://i.stack.imgur.com/aLJpF.png)