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Complex numbers › Complex analysis › Contour integrals

Complex line integral of 1/(1+z^2)

University · ●●●○○ 50 pts

Evaluate ∫11+i11+z2 dz\int_1^{1+i}\frac{1}{1+z^2}\,dz along the straight line segment from z=1z=1 to z=1+iz=1+i. Give the real part and the imaginary part of the result separately. Round each to two decimal places.

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complex line integralspartial fractionsinverse trigonometric functionslogarithms