1. Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
Note1:
is traditionally used for an antiderivative of
Note2:
is called an indefinite integral
Example:

2. Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
The connection between them

3. Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
Table Indefinite Integrals

4. TERM-092 Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
Table Indefinite Integrals

5. TERM-092 Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
Table Indefinite Integrals

6. TERM-092 Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
Table Indefinite Integrals

7. TERM-082 Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
Table Indefinite Integrals

8. TERM-082 Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
Table Indefinite Integrals

9. Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
represents the rate of change of
represents the net change in
displacement, and total distance
If an object moves along a straight line with position function , then its velocity is
the net change of position, or displacement,

10. Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
displacement, and total distance
If an object moves along a straight line with position function , then its velocity is
the net change of position, or displacement,
the net change of position = ??
Total distance traveled = ??

11. total distance traveled
Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
displacement
If an object moves along a straight line with position function , then its velocity is
the net change of position, or displacement,
total distance
total distance traveled

12. total distance traveled
Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
displacement
If an object moves along a straight line with position function , then its velocity is
the net change of position, or displacement,
total distance
total distance traveled

13. Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM