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Question Number 143765 by akmalovna05 last updated on 18/Jun/21
$$\int\int{x}+\mathrm{2}{dx} \\ $$
Answered by ajfour last updated on 18/Jun/21
![∫{∫(x+2)dx}dx = ∫ (([(x+2)^2 +k]dx)/2) =(((x+2)^3 )/6)+((k(x+2))/2)+c](Q143767.png)
$$\int\left\{\int\left({x}+\mathrm{2}\right){dx}\right\}{dx} \\ $$$$\:=\:\int\:\frac{\left[\left({x}+\mathrm{2}\right)^{\mathrm{2}} +{k}\right]{dx}}{\mathrm{2}} \\ $$$$\:=\frac{\left({x}+\mathrm{2}\right)^{\mathrm{3}} }{\mathrm{6}}+\frac{{k}\left({x}+\mathrm{2}\right)}{\mathrm{2}}+{c} \\ $$