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x-x-dx-




Question Number 10394 by Ingjberry last updated on 07/Feb/17
∫x×(√(x dx=))
$$\int\mathrm{x}×\sqrt{\mathrm{x}\:\mathrm{dx}=} \\ $$
Answered by nume1114 last updated on 07/Feb/17
is it ∫x(√x)dx ??      ∫x(√x)dx  =∫x^(3/2)   =(2/5)x^(5/2) +C  (C:constant)
$${is}\:{it}\:\int{x}\sqrt{{x}}{dx}\:?? \\ $$$$\:\:\:\:\int{x}\sqrt{{x}}{dx} \\ $$$$=\int{x}^{\mathrm{3}/\mathrm{2}} \\ $$$$=\frac{\mathrm{2}}{\mathrm{5}}{x}^{\mathrm{5}/\mathrm{2}} +{C}\:\:\left({C}:{constant}\right) \\ $$

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