Definite Integrals As Net Change - Concept

Concept Concept (1)

Definite integrals can be used to find the net change in a function between two times. The fundamental theorem of Calculus can be restated so that the definite integral of the function's derivative is equal to the net change in the function between two values. Using definite integrals as net change is an accurate way to compute the net change of a quantity.

Sample Sample Problems (3)

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Definite Integrals As Net Change - Problem 1
Problem 1
How to use the fundamental theorem of calculus to compute the net change of gallons of oil in a tank given the rate of change.
Definite Integrals As Net Change - Problem 2
Problem 2
How to use the fundamental theorem of calculus to compute the height of a skydiver above the ground at a certain time, given her initial velocity.
Definite Integrals As Net Change - Problem 3
Problem 3
How to use the net change theorem to graph a function given the graph of its derivative.