A definite integral is a mathematical concept used to calculate the area under a curve on a graph. It is represented by the symbol ∫ and has a lower and upper limit, which determine the range of the curve being integrated.
A definite integral has specific limits and gives a numerical value, while an indefinite integral has no limits and gives a general function.
The definite integral is calculated using the fundamental theorem of calculus, which involves finding the antiderivative of a function and evaluating it at the upper and lower limits of integration.
The definite integral is used to find the area under a curve, which can have real-world applications in calculating volumes, distances, and other quantities in fields such as physics, engineering, and economics.
Yes, the definite integral can be negative if the function being integrated has values below the x-axis. The negative value indicates that the area under the curve is below the x-axis and is considered to have negative area.