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3x-2-4-




Question Number 4521 by nabilah last updated on 05/Feb/16
∫(3x+2)^� 4
$$\int\left(\mathrm{3}{x}+\mathrm{2}\hat {\right)}\mathrm{4} \\ $$
Answered by FilupSmith last updated on 05/Feb/16
If you mean:  ∫(3x+2)4dx  =4∫(3x+2)dx  =4((3/2)x^2 +2x+c)  =6x^2 +8x+c    c=constant
$$\mathrm{If}\:\mathrm{you}\:\mathrm{mean}: \\ $$$$\int\left(\mathrm{3}{x}+\mathrm{2}\right)\mathrm{4}{dx} \\ $$$$=\mathrm{4}\int\left(\mathrm{3}{x}+\mathrm{2}\right){dx} \\ $$$$=\mathrm{4}\left(\frac{\mathrm{3}}{\mathrm{2}}{x}^{\mathrm{2}} +\mathrm{2}{x}+{c}\right) \\ $$$$=\mathrm{6}{x}^{\mathrm{2}} +\mathrm{8}{x}+{c} \\ $$$$ \\ $$$${c}={constant} \\ $$

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