r(t) = <2t, t

^{2}, (1/3)t

^{3}>

r'(t) = <2, 2t, t

^{2}>

From bounds of t: 0 to 1.

So length = integral of the modulus of r'(t):

Integral of sqrt(t

^{4}+4t

^{2}+4)

I'm just dead stuck on how to attack it. I tried to make it integral of sqrt((t

^{2}+2)

^{2}), and then just getting rid of the square, but I'm feeling intrinsically unsure that that way will work.

Would setting a u = t

^{4}help at all?

Any help is appreciated!