Integrate-1-8-x-x-2-3-x-dx-

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

Integrate :

\int_{1}^{8} \frac{\sqrt{x} - x^{2}}{\overset{3}{} \sqrt{x}} dx

Answered by MJS_new last updated on 22/Sep/21

= \underset{1}{\int^{8}} x^{1 / 6} - x^{5 / 3} d x = {[\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

thank you .

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