what is improper integral
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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 in some instances as both endpoints approach limits....
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An improper integral is the limit of a definite integral as an endpoint of the interval of integration approaches either a specified real number, {\displaystyle \infty }, {\displaystyle -\infty }, or in some instances as both endpoints approach limits. Such an integral is often written symbolically just like a standard definite integral, in some cases with infinity as a limit of integration.
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