Calculus with Polar Coordinates (Edexcel A-Level Further Mathematics): Flashcards

$\frac{1}{2} \int_\alpha^\beta r^2 \, d\theta$

$\frac{1}{2}$

$\frac{r'\sin\theta + r\cos\theta}{r'\cos\theta - r\sin\theta}$

$\frac{dr}{d\theta}$

$r' \sin \theta + r \cos \theta = 0$

$r' \cos \theta - r \sin \theta = 0$

$\frac{1 + \cos 2\theta}{2}$

$9\pi$

$6\pi$

$\frac{9}{2}$