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\textbf{Math 425: Complex Variables}
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\textbf{Quiz 8}\quad \textsl{April 5, 2002}

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1. Compute the residue of $f(z) = z^2/(z^4 + 2z^2 + 1)$ at $z = i$.

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2. Use the Residue Theorem to compute $\int_{-\infty}^\infty
\frac{x^2}{x^4 + 2x^2 + 1}\,dx$.

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3. Use the Residue Theorem to compute $\int_{-\infty}^\infty
\frac{\cos(x)}{x^2 + 1}\,dx$.


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