Question Number 5278 by sara last updated on 04/May/16
$$\int\left\{\left(\mathrm{3}{x}\right){i}+\left(\mathrm{2}{x}\right){y}\right\}{dx}= \\ $$$$ \\ $$
Answered by FilupSmith last updated on 04/May/16
$$\int\left(\mathrm{3}{xi}+\mathrm{2}{xy}\right){dx} \\ $$$$=\mathrm{3}{i}\int{xdx}+\mathrm{2}{y}\int{xdx} \\ $$$$=\left(\mathrm{3}{i}+\mathrm{2}{y}\right)\int{xdx} \\ $$$$=\left(\mathrm{3}{i}+\mathrm{2}{y}\right)\left(\frac{\mathrm{1}}{\mathrm{2}}{x}^{\mathrm{2}} +{c}\right) \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}}{x}^{\mathrm{2}} \left(\mathrm{3}{i}+\mathrm{2}{y}\right)+{c} \\ $$$${c}={constant} \\ $$