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calculati aria multimi f cu f(x)=x^2-x,cu x apartine[1,2]

Răspuns :

[tex]\displaystyle A=\int\limits_1^2f(x)dx=\int\limits_1^2(x^2-x)dx=\int\limits_1^2x^2dx-\int\limits_1^2xdx=\left(\frac{x^3}{3}-\frac{x^2}2\right)\big|_1^2=\frac56[/tex]