A region above the horizontal axis contributes positively to the definite integral, while a region below it contributes negatively. The definite integral measures net signed area, not total geometric area.
Conditions: The function is piecewise-linear or its graph encloses simple geometric regions.; The integral is evaluated over an interval where the graph crosses the horizontal axis.
A region above the horizontal axis contributes positively to the definite integral, while a region below it contributes negatively. The definite integral measures net signed area, not total geometric area.
Conditions: The function is piecewise-linear or its graph encloses simple geometric regions.; The integral is evaluated over an interval where the graph crosses the horizontal axis.