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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- Nov 3rd 2008, 10:26 PMsamdmansamintegration
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 - Nov 3rd 2008, 10:33 PMSoroban
Hello, Sam!

You'll kick yourself . . .

Quote:

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.

- Nov 3rd 2008, 10:33 PMchiph588@
$\displaystyle x^{2}\sqrt{x} = x^{\frac{4}{2}}x^{\frac{1}{2}} = x^{\frac{5}{2}} $