The limits of integration are the values that determine the range over which an integral is evaluated. They specify the starting and ending points on the x-axis for finding the area or calculating other quantities using integration.
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A definite integral is used to find the exact value of an area under a curve or to calculate other quantities. It involves integrating a function between specific limits.
An indefinite integral represents a family of functions that differ by a constant. It does not have specific limits and is often used to find antiderivatives.
A Riemann sum is an approximation method for finding areas under curves by dividing them into smaller rectangles. It becomes more accurate as these rectangles become narrower.