Integral test for convergence

In mathematics, the integral test for convergence is a method used to test infinite series of monotonous terms for convergence. It was developed by Colin Maclaurin and Augustin-Louis Cauchy and is sometimes known as the Maclaurin–Cauchy test.

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Calculus
${\displaystyle f(a)-f(b)=\int _{b}^{a}f'(t)\,dt}$
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