If you were to integrate this curve between $t=\pi$ and $t=\frac{5\pi}{6}$ what area would you be working out? Also if you integrated this curve between $t=\pi$ and $t=\frac{2\pi}{3}$ what area would you be working out? If someone could show me a shaded diagram to show these 2 cases it would really help me. I'm a bit confused about parametric integration.