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Improper Integral with an Interior Singularity
If $$f(x)$$ is unbounded at $$x=c\in(a,b)$$:
$$\int_a^bf(x)\,dx=\int_a^cf(x)\,dx+\int_c^bf(x)\,dx$$
Usage
- Both component integrals must converge for the improper integral to converge.
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Improper Integral with an Interior Singularity
If $$f(x)$$ is unbounded at $$x=c\in(a,b)$$:
$$\int_a^bf(x)\,dx=\int_a^cf(x)\,dx+\int_c^bf(x)\,dx$$
Usage
- Both component integrals must converge for the improper integral to converge.
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