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5.4 Indefinite Integrals. Indefinite Integral = Antiderivative. Ex 1 : Evaluate. Ex 2 : Evaluate. The Total Change Theorem : The integral of a rate of change is the total change. Ex 3 : A particle moves along a line so that its velocity at time x is (m/sec).
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The Total Change Theorem: The integral of a rate of change is the total change.
Ex 3: A particle moves along a line so that its velocity at time x is (m/sec). a) Find the displacement from x = 0 to 2 seconds.
Displacement: Total Change in Position Distance:
Ex 3: A particle moves along a line so that its velocity at time x is (m/sec). b) Find the distance traveled during this time period.