Thread: integration

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

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}} $