The integral ∫^∞_a f(x) dx is improper because the interval [a, ∞) is infinite. If f has an infinite discontinuity at a, then the integral is improper for a second reason. In this case we evaluate the integral by expressing it as a sum of improper integrals of Type 2 and Type 1 as follows:

Evaluate the given integral if it is convergent.

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dx + c > a %3|