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Q8Section II (Mathematics)8 of 145

∫ab(x−a)−ndx\int_a^b(x-a)^{-n}dx behaves like a pp-integral: finite iff n<1n<1

The improper integral ∫abdx(x−a)n\displaystyle\int_a^b\frac{dx}{(x-a)^n} converges:

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