Improper Integral
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In calculus, an improper integral is the limit of a definite integral as an endpoint of the interval of integration approaches either a specified real number or or or, in some cases, as both endpoints approach limits.It is often necessary to use improper integrals in order to compute a value for integrals which may not exist in the conventional sense (as a Riemann integral, for instance) because of a singularity in the function, or an infinite endpoint of the domain of integration.There is more than one theory of integration. From the point of view of calculus, the Riemann integral theory is u...
In calculus, an improper integral is the limit of a definite integral as an endpoint of the interval of integration approaches either a specified real number or or or, in some cases, as both endpoints approach limits.It is often necessary to use improper integrals in order to compute a value for integrals which may not exist in the conventional sense (as a Riemann integral, for instance) because of a singularity in the function, or an infinite endpoint of the domain of integration.There is more than one theory of integration. From the point of view of calculus, the Riemann integral theory is usually assumed as the default theory. In using improper integrals, it can matter which integration theory is in play.
