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Math Help - Contour Integral where f(z) is not continuous

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    Contour Integral where f(z) is not continuous

    \int_C \frac{z+i}{z^3 + 2z^2} dz , where C is the circle |z|=1 traversed once counterclockwise.

    ok so the parameterisation of the contour gives e^{\pi i t},  0 \leq t \leq 2

    but i'm not sure how to continue becuase the f(z)= \frac{z+i}{z^3+2z^2} is undefined at z=0 and at z=-2
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    Re: Contour Integral where f(z) is not continuous

    Quote Originally Posted by linalg123 View Post
    \int_C \frac{z+i}{z^3 + 2z^2} dz , where C is the circle |z|=1 traversed once counterclockwise.

    ok so the parameterisation of the contour gives e^{\pi i t},  0 \leq t \leq 2

    but i'm not sure how to continue becuase the f(z)= \frac{z+i}{z^3+2z^2} is undefined at z=0 and at z=-2
    You probably need to use the residue theorem.
    Thanks from linalg123
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