1. SECTION 4-1 Antidifferentiation Indefinite Integration

2. differentiation antidifferentiation

3. 1) If y = x 3 find y’ by the power rule: 2) Given y’ = 3x 2 find y think backwards:

4. 3) Given find y Is that the only function? What about… y = x 2 – 5 OR y = x 2 + 3

5. Antiderivatives Def: Antiderivatives Vary by any number C where C is called the constant of integration The equation itself is the general solution that represents the family of solutions obtained by finding the antiderivative.

6. Indefinite Integration: the process of finding antiderivatives Notation: Integral Sign Integrand Variable of integration Antiderivative Constant of Integration

7. Basic Integration Rules (p. 243) Constants:(a) (b) (c) (d)

8. Basic Integration Rules Sum/Difference: Power:

9. 4) 5)

10. 6) 7)

11. Trig Integration Rules

12. 8) 9)

13. Trig identities:

14. 10)

15. 11)

16. Homework Page 255 # 9-12, 15-33 odd, 35, 36,37,40,and 44