CONCEPT CHECK
Improper Integrals Describe two ways for an integral to be improper.
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Improper Integrals What does it mean for an improper integral to converge?
EXPLORING CONCEPTS
Improper Integral Consider the integral
To determine the convergence or divergence of the integral, how many improper integrals must be analyzed? What must be true of each of these integrals for the given integral to converge?
Comparing Integrals Let f be continuous on the interval [a, ). Show that if the improper integral dx converges, then the improper integral dx also converges.