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Sir.Aaron
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What does this sign mean. I know its an integral sign but I don't know what that circle in the middle of it means.
Integral Sign Meaning: Answers & Explanations
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In summary, the integral sign (∫) is a symbol used in calculus to represent the process of finding the antiderivative of a function. It is used to find the original function when given its derivative and can also be interpreted as the limit of a sum of infinitely small rectangles under a curve. It is the inverse operation of the derivative sign (d/dx) and is used to find the rate of change of a function. There are two types of integrals, definite and indefinite, which are used in different contexts. The integral sign is widely used in various fields and everyday life to solve problems involving rates of change and area under curves.
What does this sign mean. I know its an integral sign but I don't know what that circle in the middle of it means.
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shmoe
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It usually means it's an integral around some closed contour.
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Sir.Aaron
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Can you give me an example? Please
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shmoe
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See under "complex analysis" of http://en.wikipedia.org/wiki/Line_integral
Was this notation not explained wherever you found it?
Was this notation not explained wherever you found it?
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Sir.Aaron
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Nope, thanks for the help and the link.shmoe said:
1. What is the integral sign?
The integral sign (∫) is a symbol used in calculus to represent the mathematical operation of integration. It is often used to find the area under a curve or to solve problems involving rates of change.
2. What does the integral sign mean?
The integral sign represents the process of finding the antiderivative of a function. In other words, it is used to find the original function when given its derivative. It can also be interpreted as the limit of a sum of infinitely small rectangles under a curve.
3. How is the integral sign different from the derivative sign?
The integral sign (∫) and the derivative sign (d/dx) are inverse operations. The integral is used to find the original function, while the derivative is used to find the rate of change of a function. In terms of notation, the integral sign represents the antiderivative, while the derivative sign represents the derivative.
4. What are the two types of integrals?
The two types of integrals are definite and indefinite integrals. A definite integral has specific limits of integration and gives a numerical result, while an indefinite integral has no limits and gives a general function as a result.
5. How is the integral sign used in real-life applications?
The integral sign is used in various fields such as physics, engineering, economics, and statistics to solve problems involving rates of change and area under curves. It is also used in computer science to solve algorithms and in signal processing to analyze signals. In everyday life, the integral sign is used in calculating areas, volumes, and averages.
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