Definite Integrals and Area - Concept

Concept Concept (1)

Definite integrals can be used to find the area under, over, or between curves. If a function is strictly positive, the area between it and the x axis is simply the definite integral. If it is simply negative, the area is -1 times the definite integral. If finding the area between two positive functions, the area is the definite integral of the higher function minus the lower function, or the definite integral of (f(x)-g(x)).

Sample Sample Problems (3)

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Definite Integrals and Area - Problem 1
Problem 1
How to find the area bounded between a curve and an x-axis.
Definite Integrals and Area - Problem 2
Problem 2
How to find the area bounded between a curve and an x-axis when the curve goes below the x-axis.
Definite Integrals and Area - Problem 3
Problem 3
How to find the area between two curves.