Question

Am nevoie de o rezolvare, ma poate ajuta cineva? ​

Answer 1

$\displaystyle\int f(x)dx=\int2-x+\sqrt{x}\,dx=\int2dx-\int xdx+\int\sqrt{x}dx=\\=2x-\frac{x^2}{2}+\int x^{\frac12}dx=2x-\frac{x^2}2+\frac{x^{\frac12+1}}{\frac12+1}+C=\\=2x-\frac{x^2}2+\frac{2x^\frac32}{3}+C\Rightarrow A$