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Question-119915




Question Number 119915 by Khalmohmmad last updated on 28/Oct/20
Answered by malwaan last updated on 28/Oct/20
∫x^2 (1 + 4x^3  )dx  =∫(x^2 + 4x^5 )dx  = (x^3 /3) + ((2x^6 )/3) + C
$$\int{x}^{\mathrm{2}} \left(\mathrm{1}\:+\:\mathrm{4}{x}^{\mathrm{3}} \:\right){dx} \\ $$$$=\int\left({x}^{\mathrm{2}} +\:\mathrm{4}{x}^{\mathrm{5}} \right){dx} \\ $$$$=\:\frac{{x}^{\mathrm{3}} }{\mathrm{3}}\:+\:\frac{\mathrm{2}{x}^{\mathrm{6}} }{\mathrm{3}}\:+\:{C} \\ $$

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