## Question

- By using the substitution \(u = 1 - x^2\), or otherwise, evaluate
\[\begin{equation*}
\int_0^{\frac{1}{2}} \frac{x}{(1-x^2)^2} \:dx.
\end{equation*}\]
- Evaluate
\[\begin{equation*}
\int_0^{\pi/6} \frac{\sin \theta \:d\theta}{\cos^3 \theta}.
\end{equation*}\]