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{\bf Math 166: Honors Calculus II}
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{\bf Quiz 4}\quad {\sl Feb. 15, 1996}

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\item Integrate $\int \sin^{-1}(x)\,dx$
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\item Integrate $\int\frac{x}{\sqrt{4 - 2x - x^2}}\,dx$.

(Hint: Think of the numerator as $-\frac{1}{2}(-2x-2) - 1$.)
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\item Give the general form of the partial fraction decomposition of
\[
    \frac{x^3+2x+1}{(x-2)(x^2+3x+4)^2(x+5)^3}
\]
(Do not solve for the constants).
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\item Integrate $\int\frac{1}{x(x^2+1)(x+1)}\,dx$.
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