Complex numbers › Complex analysis › Contour integrals

Integral of an exponential over a triangle

University · ●○○○○ 10 pts

Let γ\gamma be the triangle in C\mathbb C whose vertices are the three cube roots of 1+i1+i, oriented clockwise. Find the value of ∫γe2z+i dz.\int_\gamma e^{2z+i}\, dz.

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contour integrationantiderivativescomplex exponentials