Review question

# How could we integrate $\tan^3 \theta$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R8694

## Question

1. Evaluate $\begin{equation*} \int_0^{\tfrac{1}{4} \pi} \tan^3 \theta \:d\theta, \end{equation*}$

giving the answer correct to two significant figures.

2. By using the substitution $x+1 = u^2$, or otherwise, find $\begin{equation*} \int \frac{\sqrt{x+1}}{x-3} \:dx. \end{equation*}$