Review question

# Can we use integration by substitution on these integrals? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8890

## Question

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