Step 1:

The curve is $\"\"$ .

Area of the curve enclosed in the first loop is $\"\"$

Two consecutive values for which $\"\"$ is zero in the first loop are $\"\"$ .

Now integrate from $\"\"$ .

Area enclosed by one of the loop is $\"\"$

$\"\"$

Area of the curve enclosed in the first loop is $\"\"$ .

Solution:

Area of the curve enclosed in the first loop is $\"\"$ .