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Z b a f(g(x))g0(x)dx = Z g(b) g(a) f(u)du Example Calculate R e 1 lnx x dx Solution We let u = lnx because its differential du = dx x occurs in the integral When x = 1, u = ln1 = 0;Förnya er prenumeration Kontakta oss på info@eddlerse Innehåll Beteckningen f (x) och algebraiska uttryck f (x) och f (g (x)) – Sammansatta funktioner Exempel i videon Kommentarer I den här lektionen lär du dig att hantera beteckningen f (x), framförallt när vi sätter in algebraiska uttryck som f (xh) och f (g (x)) i formelnExempel 5 Vi tittar nu på funktionerna f(x) = och g(x) = 4 – x 2 och hittar definitionsmängden samt värdemängden för de sammansatta funktiorna Vi måste uppenbarligen begränsa värdet inom kvadratroten till enbart poritiva tal Därför kan sen sammansatta funktionen f(g(x)) = enbart anta positiva värden av den inre funktionen g(x) = 4 – x 2

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