Mathegoras

Complex numbers › Complex analysis › Contour integrals

Principal value with real poles

University · ●●●○○ 50 pts

Find the Cauchy principal value of ∫−∞∞x dx(x−1)4−1\int_{-\infty}^{\infty}\frac{x\,dx}{(x-1)^4-1}, where the poles at 00 and 22 lie on the real axis. Round to two decimal places.

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contour integrationprincipal valuespartial fractionsimproper integralsresidue theorem