This operation was defined with respect to a general measure by Lebesgue.
This operation was defined with respect to a general measure by Lebesgue. The Jacobian determinant is an extra factor of "r squared sine theta" required to perform this operation in spherical coordinates. It can be approximated using the Newton-Cotes formulas, Simpson's rule, or the trapezoidal rule. It can be performed by parts or by u-substitution, and can be defined as the limit of a Riemannian sum. The Fundamental Theorem of Calculus relates it to another operation. For 10 points, name this operation giving the area under a curve, the opposite of differentiation.
This operation was defined with respect to a general measure by Lebesgue.
integration or integral 