# What is the area under the polar curve #f(theta) = theta^2sin((5theta)/2 )-cos((2theta)/3+pi/2) # over #[pi/6,(3pi)/2]#?

##### 1 Answer

Apr 22, 2016

The answer is **142.523**.

#### Explanation:

The formula for finding the area of a polar curve goes like this...

With this formula in mind, plug in your f graph and your endpoints into the above formula, like so...

Yuck. This looks like a job for a calculator.

I'm getting... **142.523**...sounds good to me.