# What is the arclength of the polar curve #f(theta) = sin(3theta)-4cot6theta # over #theta in [0,pi/4] #?

##### 1 Answer

Nov 21, 2016

#### Answer:

The arclength is infinite.

#### Explanation:

From the reference Arc Length with Polar Coordinates

Given:

Substituting into the integral:

This integral does not converge.