How to solve the integral through a semicircle?

J

Joulence2020-05-18 23:41:05

Mathematics

Joulence, 2020-05-18 23:41:05

A small problem arose, since I don’t remember how to correctly solve such integrals through a semicircle. It would be great if you could help

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1 answer(s)

U

U235U235, 2020-05-19
@Joulence

sqrt(2x-x*x)=sqrt(x(2-x)), t= x-1, sqrt((t+1)(2-t-1))=sqrt(1^2-t^2 )
Further see https://ru.wikipedia.org/wiki/%D0%A1%D0%BF%D0%B8%D...