Calculus Examples

$r^{2} = 4 \cos (2 θ)$

Step 1

Using the formula $r^{2} = a^{2} \cos (2 θ)$ or $r^{2} = a^{2} \sin (2 θ)$ , where $a \neq 0$ , graph the lemniscate.

$r^{2} = 4 \cos (2 θ)$

Step 2

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$