Questions tagged [root-integrals]
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Intuition behind substitution $x=\sqrt{\frac{a-t}{b+t}}$
Consider the following two integrals using Feynman’s trick.
(i) $I=\int_0^\frac{\pi}{2} \frac{\ln(1-\sin x)}{\sin x}dx$
$$I(t)=\int_0^\frac{\pi}{2} \frac{\ln(1-t\sin x)}{\sin x}dx $$
Using ...
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