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:

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

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

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

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

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

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

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

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,

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 = ??

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

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

Sec 5.4: INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM