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Complex numbers › Complex analysis › Contour integrals

Contour integral of 1/(z^2+1)

University · ●●○○○ 20 pts

Compute the complex contour integral ∫∣z∣=21z2+1 dz\displaystyle\int_{|z|=2}\frac{1}{z^2+1}\,dz, where the circle ∣z∣=2|z|=2 is traversed once counterclockwise.

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residue theorempartial fractions