Question

Интеграл dx/x^2-2x+1

Answer 1

$int frac{dx}{x^2-2x+1} =int frac{dx}{(x-1)^2}=Big [, t=x-1; ,; dt=dx, Big ]=\\=int frac{dt}{t^2}=int t^{-2}, dt=frac{t^{-1}}{-1}+C=-frac{1}{t}+C=- frac{1}{x-1}+C$