1. Chapter 7
Integration

2. Section 7.1
Antiderivatives

4. Figure 1

8. Your Turn 2
Solution:

10. Your Turn 3
Solution: By extending the sum and difference rules to more than two terms, we get

11. Your Turn 4
Solution: First rewrite the integrand as follows.

14. Your Turn 5
Solution:

15. Section 7.2
Substitution

16. Your Turn 1
Solution: Now substitute. Now replace u with

17. Your Turn 2
Solution:

18. Your Turn 4
Solution:

21. Area and the Definite Integral
Section 7.3
Area and the Definite Integral

22. Figure 4

23. Figure 5

24. Figure 6

25. Figure 7

26. Figure 8

27. Figure 9

28. Figure 10

30. The Fundamental Theorem of Calculus
Section 7.4
The Fundamental Theorem of Calculus

32. Your Turn 1
Solution: By the power rule given earlier, the indefinite integral is By the Fundamental Theorem, the value of the definite integral is found by evaluating as follows with no constant C required.

34. Your Turn 2
Solution: Use the Fundamental Theorem.

35. Figure 18

36. Figure 19

37. Figure 20

39. The Area Between Two Curves
Section 7.5
The Area Between Two Curves

40. Figure 21

42. Figure 22

43. Figure 23

44. Figure 25

45. Figure 26

46. Figure 27

47. Figure 28

49. Figure 29

51. Figure 30