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Lubov Fominskaja [6]
2 years ago
15

Integrate with respect to x -2/3√((2-5x)^3)

Mathematics
1 answer:
salantis [7]2 years ago
5 0

Hello,

\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

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