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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CAT Formulas
Indefinite Integration
Improper Integral with an Infinite Discontinuity
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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