Hello,

I'm in minor confusion why my answer is wrong as opposed towards the book's answer.

I'm asked to find the area enclosed by the equations,

If I compute the area under each equation, and also consider a sign test on both integrals seperately, then:-

and,

Now if I consider another sign test,

The total area available under either equation, with limit , is . Then the area , enclosed by and will be less than . So in order for to be subtracted from it must have its sign reversed because it's negative.

So,

However, the book has answer of

Therefore,

The enclosed area is greater than

I don't understand why my answer is wrong?