"lahtume" - 1 õppematerjal

Matemaatiline analüüs terve konspekt

c f (x) dx = c f (x) dx (c R) ¨ G. Tamberg (TTU) YMM3731 Matemaatilne analu¨ us ¨ I 7 / 34  Ma¨ aramata ¨ integraal Ma¨ aramata ¨ integraal ~ Toestus. ¨ Lahtume diferentsiaali definitsioonist ja tuletise omadustest d(F (x)+G(x)) = (F (x)+G(x)) dx = (F (x)+G (x))dx = (f (x)+g(x))dx dF (x) = f (x)dx dG(x) = g(x)dx d(c F (x)) = (c F (x)) dx = c F (x)dx = c f (x)dx Integreerime F (x) + G(x) = d(F (x) + G(x)) = f (x) + g(x) dx F (x) = dF (x) = f (x) dx G(x) = dG(x) = g(x) dx