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Define the following:
a. Line integral:
b. Surface integral:

User Otterfan
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Final answer:

A line integral calculates the total value of a function along a curve, while a surface integral calculates the total value of a function over a surface.

Step-by-step explanation:

A line integral is a type of integral that is used to calculate the total value of a function along a curve or a path. It represents the accumulation of a quantity as you move along the curve. In other words, it calculates the total of a function's values over a given curve.

On the other hand, a surface integral is used to calculate the total value of a function over a surface. It represents the accumulation of a quantity over a given surface. Surface integrals are computed by taking the antiderivatives of both dimensions defining the area, with the edges of the surface being the bounds of the integral.

User David Archibald
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