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zorro
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Can somebody give me an example of a definite integral satisfying this property? :
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A definite integral is a mathematical concept used to calculate the area under a curve on a graph. It is represented by the notation ∫f(x)dx and is equivalent to finding the sum of infinitely small rectangles under the curve.
A definite integral has specific limits of integration whereas an indefinite integral does not. This means that a definite integral will give a specific numerical value, while an indefinite integral will give a function with a constant term.
A definite integral is used to find the exact value of the area under a curve. This is because it calculates the sum of infinitely small rectangles, which can approximate the exact area under the curve.
To solve a definite integral, you need to find the antiderivative of the function and plug in the limits of integration. The result will be a numerical value that represents the area under the curve.
Definite integrals have various applications in mathematics, physics, engineering, and other fields. They can be used to find areas, volumes, and other quantities in real-life situations, such as calculating the distance traveled by an object with changing velocity or determining the amount of medication in a patient's bloodstream over time.