giúp em điiiiii mọi ng

Ta có:

`[f'(x)]²=f(x)e^x`

`<=>f'(x)=\sqrt{f(x)e^x}`

`<=>f'(x)=\sqrt{f(x)}.e^(x/2)`

`<=>(f'(x))/(\sqrt{f(x)})=e^(x/2)`

`<=>(f'(x))/(2\sqrt{f(x)})=1/2 . e^(x/2)`

`=>\int_{0}^{2}(f'(x))/(2\sqrt{f(x)})dx=\int_{0}^{2} 1/2 .e^(x/2)dx`

`<=>\sqrt{f(x)}|_{0}^{2}` `=e^(x/2)|_{0}^{2}`

`<=>\sqrt{f(2)}-\sqrt{f(0)}=e-1`

`<=>\sqrt{f(2)}=e-1+\sqrt{2}`

`<=>f(2)=(e+\sqrt{2}-1)^2`