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Question Number 154876 by Mr.D.N. last updated on 22/Sep/21

$$\mathbf{Integrate}:$$$${\int }_1^8\frac{\sqrt{\mathbf{x}}-{\mathbf{x}}^2}{\stackrel{3}{}\sqrt{\mathbf{x}}}\mathbf{dx}$$

Answered by MJS_new last updated on 22/Sep/21

$$=\underset{1}{\stackrel{8}{\int }}{x}^{1/6}-x^{5/3}dx={[\frac{6}{7}{x}^{7/6}-\frac{3}{8}{x}^{8/3}]}_1^8=$$$$=\frac{48\sqrt{2}}{7}-\frac{5403}{56}$$

Commented by Mr.D.N. last updated on 23/Sep/21

$$\mathrm{thank}\mathrm{you}.$$

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