Sec 5.4:INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM

CƠ HỘI VÀ THÁCH THỨC DÀNH CHO ĐT VIỆT NAM TẠI VÒNG LOẠI WORLD CUP 2026
CƠ HỘI VÀ THÁCH THỨC DÀNH CHO ĐT VIỆT NAM TẠI VÒNG LOẠI WORLD CUP 2026

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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:

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

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

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

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

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

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

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

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

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

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

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Sec 5.4: THE NET CHANGE THEOREM

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Sec 5.4:INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
Example1:

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Sec 5.4:INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM

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Sec 5.4:INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM

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Sec 5.4:INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
Motion Along a Line: Displacement Suppose that an object is moving along a coordinate line, usually horizontal or vertical, so that we know its position s on that line as a function of time t: Example1: If at time t, the position of a body moving along the s- axis is 1) net change of position, or displacement = 2) total distance traveled total distance = Example2: If at time t, the velocit of a body moving along the s- axis is net change of position, or displacement during the period [t1, t2] is total distance traveled during the period [t1, t2] is

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Sec 5.4:INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
Motion Along a Line: Displacement Suppose that an object is moving along a coordinate line, usually horizontal or vertical, so that we know its position s on that line as a function of time t: Example1: If at time t, the position of a body moving along the s- axis is 1 2 3 4 5 18 22 20 net change of position, or displacement = total distance traveled = Example2: If at time t, the velocit of a body moving along the s- axis is net change of position, or displacement during the period [t1, t2] is total distance traveled during the period [t1, t2] is

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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 traveled

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Sec 5.4:INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
displacement total distance

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Sec 5.4:INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM
The integral of a rate of change is the net change: represents the net change in

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Sec 5.4:INDEFINITE INTEGRALS AND THE NET CHANGE THEOREM

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