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# Ln-sine integral

$\int _{ 0 }^{ 1 }{ { x }^{ n }\ln { (\sin { \pi x } ) } \, dx }$

Find a closed form of the integral above, where $$n$$ is a positive integer.

This is a part of the set Formidable Series and Integrals

Note by Hummus A
6 months, 1 week ago