∫(x^3)(x^2-1)^(3/2)dx

I tried u=x^2 - 1, but then I get (1/2)du=xdx, and I have an x^3, so that's not working...what should I do?

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- Dec 1st 2008, 07:14 PMSusaludaUsing u-substitution, integrate ∫(x^3)(x^2-1)^(3/2)dx
∫(x^3)(x^2-1)^(3/2)dx

I tried u=x^2 - 1, but then I get (1/2)du=xdx, and I have an x^3, so that's not working...what should I do? - Dec 1st 2008, 07:20 PMChop Suey
On the contrary, is an ideal substitution.

yields

Do you see why? - Dec 1st 2008, 07:24 PMSusaluda
It's x^3 though, not x^2

- Dec 1st 2008, 07:27 PMChop Suey

I forgot to put the constant in my previous post.