Question asks: what is the area between the large petals and small petals for the curve $\displaystyle r=1+2sin3\theta $
started by looking for values of $\displaystyle \theta$ that made r = 3 (tip of a large petal) and r = 0 (petal base).
stumbled onto the value of r = -1 for the tip of the small petal during plotting.
yes, some of us older folks remember how to plot polar graphs by hand.