Question: (a) (i) Integrate \(\int e^{x} \cos x d x\).

(ii) Integrate \(\int \frac{d x}{x \sqrt{x^{4}-4}} .\) [Hint: You may wish to try the substitution \(x^{2}=\)

(b) Consider the rational function \(f(x)=\frac{2 x^{4}+3 x^{3}-2 x-4}{x^{3}-1}\) for \(x \neq 1\).

1. Determine the equation of the tangent line to \(f\) at \(x=0\).
2. Determine the oblique asymptote of the graph of \(f\).

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