Definite integrals sometimes have the property that the integrand becomes infinite at one or both of...

 

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Definite integrals sometimes have the property that the integrand becomes infinite at one or both of the endpoints, but the integral itself is finite. In other words, limxa |(x)| = or limxa |(x)| = , but b [. a f(x) dx exists and is finite. Modify the adaptive quadrature algorithm so that if an infinite value of f(a) or f(b) is detected, an appropriate warning message is displayed and f(x) is reevaluated at a point very near to a or b. . Find an example that triggers the warning, but has a finite integral. Definite integrals sometimes have the property that the integrand becomes infinite at one or both of the endpoints, but the integral itself is finite. In other words, limxa |(x)| = or limxa |(x)| = , but b [. a f(x) dx exists and is finite. Modify the adaptive quadrature algorithm so that if an infinite value of f(a) or f(b) is detected, an appropriate warning message is displayed and f(x) is reevaluated at a point very near to a or b. . Find an example that triggers the warning, but has a finite integral.