Worth 98 points! ! i will mark brainliest and give stars if all steps are shown and the integral is included

find the area of the region inside the polar curve
r=2-2sin(theta) and outside the polar curve r=3.

Both curves complete one loop over the interval . See the attached plot. First find when the curves intersect in this interval:

From the plot we can see that is "larger" than , so the area is given by

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068