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## Homework Statement

Find the area inside one leaf of the four-leaved rose r = cos2x

## Homework Equations

A = 1/2 antiderivative

_{a}

^{b}r

^{2}dx

## The Attempt at a Solution

I just need help in finding the lower and upper limits of integration. But besides that, I know how to do the rest.

If my integration is right

A = 1/2 antiderivative cos

= 1/2 antiderivative (1 + cos 4x)/2

= 1/2 (1/2 x + 2 sin 4x

^{2}2x= 1/2 antiderivative (1 + cos 4x)/2

= 1/2 (1/2 x + 2 sin 4x