emm86 emm86
  • 01-07-2021
  • Mathematics
contestada

Integrate with respect to x

-2/3√((2-5x)^3)

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caylus
caylus caylus
  • 01-07-2021

Hello,

[tex]\displaystyle \int {-\dfrac{2}{3} \sqrt{(2-5x)^3}} \, dx \\\\\displaystyle=-\dfrac{2}{3}*\dfrac{-1}{5} \int {-5*(2-5x)^{\frac{3}{2} }} \, dx \\\\\displaystyle=\dfrac{4}{3}*(2-5x)^{\frac{5}{2} }+C[/tex]

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