- #1
miglo
- 98
- 0
Homework Statement
[tex]y=\frac{1}{3}\left(x^2+2\right)^{3/2}[/tex]
Homework Equations
[tex]\int_{a}^{b}\sqrt{1+\left(\frac{dy}{dx}\right)^{2}}dx[/tex]
The Attempt at a Solution
[tex]\frac{dy}{dx}=x\sqrt{x^2+2}[/tex]
[tex]\int_{0}^{3}\sqrt{1+\left(x\sqrt{x^2+2}\right)^{2}}dx=\int_{0}^{3}\sqrt{1+x^4+2x^2}dx[/tex]
I'm stuck with that integral, not sure what the antiderivative for that function would be
Any hints at the next step would be greatly appreciated.