Improper Integral with an Infinite Discontinuity

Rarely Tested

Improper Integral with an Infinite Discontinuity

If $$f(x)$$ becomes unbounded at $$x=c$$:

$$\int_a^cf(x)\,dx=\lim_{t\to c^-}\int_a^tf(x)\,dx$$

Usage

- Used when the integrand has an infinite discontinuity at an endpoint.

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