Integration by substitution – math.stackexchange.com

Integration by substitution – math.stackexchange.com

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I want to integrate $$\int x \sqrt{1-x} dx $$ I set $ U = 1 - x $ However when I continue on I'm stuck here - $\int x(u)^{1/2} -du $ I can't remove $x$ , How should I change my $U$ ?

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