Extension: Cauchy Principal Value
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- Recall that to evaluate improper integrals, we first break the integral up so it is improper for only one reason. So, for example, we write ∫−111x=∫−101x+∫011x\int_{-1}^1\frac{1…
By Panavia Shou, Alex Federspiel
- The Cauchy principal value limit lima→∞∫−aaf(x) dx\lim_{a\to\infty}\int_{-a}^{a} f(x)\,dxlima→∞∫−aaf(x)dx can exist even if the improper integral ∫−∞∞f(x) dx\int_{-\infty}^{\…
By Victor Wang