Question: the illustrated curves below are those of y sinx and...

The illustrated curves below are those of y= sinx and y= 2sinx cosx between x=0 and x=2$\mathrm{\pi }$.

Identify each curve

show that the points of intersection between 0 $\le$x$\le$$\mathrm{\pi }$ are at x=0, x=$\frac{\mathrm{\pi }}{3}$, and x=2$\mathrm{\pi }$

FInd the total area enclosed between the curves between 0$\le$x$\le \mathrm{\pi }$, and hence use symmetry to find the total area enclosed between y=sinx and y=2sinx cosx between 0$\le$x$\le 2\mathrm{\pi }$