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The value of $\int_c \frac{2x^2-5}{(x+2)^2 (x^2+4)x^2}dx$, (where $c$ is the square with vertices $1+i, 2+i, 2+2i, i+2i$) is:

  1. $0$
  2. $\pi i$
  3. $2 \pi i$
  4. $4 \pi i$
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