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woundedtiger4

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- Thread starter woundedtiger4
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In summary, a line integral is a type of integral that is computed along a curve or line. It has various applications in physics, engineering, and mathematics. Line integrals differ from regular integrals in that they are integrated over a specific path or line segment. They are closely related to vector fields and are commonly used to calculate work and flux. In physics, they are used to calculate work, flux, and the center of mass of a wire or rod.

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woundedtiger4

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camillio

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Stochastic integrals are quite close to line integrals. They are used, e.g., in economics.

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muzz

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- #4

woundedtiger4

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camillio said:Stochastic integrals are quite close to line integrals. They are used, e.g., in economics.

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A line integral is a type of integral that is computed along a curve or line. It involves integrating a function over a specific path or line segment.

Line integrals have a wide range of applications in fields such as physics, engineering, and mathematics. Some common applications include calculating work and flux in vector fields, finding the mass and center of mass of a wire or rod, and determining the circulation of a fluid.

Unlike regular integrals, line integrals involve integrating a function over a specific path or line segment, rather than over a specific interval. This means that the bounds of integration are determined by the curve or line rather than by a set of numbers.

Line integrals are commonly used to calculate work and flux in vector fields. The value of the line integral is determined by the direction and magnitude of the vector field along the given path or line segment.

In physics, line integrals are used to calculate the work done by a force along a specific path. They are also used to calculate the flux of a vector field, which is important in electromagnetic theory and fluid mechanics. Additionally, line integrals are used to determine the center of mass of a wire or rod, which is useful in mechanics and engineering applications.

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