Note that v(x³) = x^(3/2).

? x^(3/2) dx

By integral power rule ? xn dx = x^(n + 1)/(n + 1) + c, we obtain:

x^(3/2 + 1)/(3/2 + 1) + c
==> x^(3/2 + 2/2)/(3/2 + 2/2) + c
==> x^(5/2)/(5/2) + c
==> 2x^(5/2)/5 + c

I hope this helps!

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