how do I integrate ((-x^2)*sqrt(x))dx please dont just answer, I can solve the rest but dont understand how to solve this one. Thanks heaps Sam
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Hello, Sam! You'll kick yourself . . . How do I integrate: .$\displaystyle \int(\text{-}x^2)\sqrt{x}\,dx$ We have: .$\displaystyle \int\left(\text{-}x^2\right)\left(x^{\frac{1}{2}}\right)\,dx \;=\;-\!\!\int x^{\frac{5}{2}}\,dx\quad\hdots $ etc.
$\displaystyle x^{2}\sqrt{x} = x^{\frac{4}{2}}x^{\frac{1}{2}} = x^{\frac{5}{2}} $
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