Find the length of the curve: r(t) = <2t, t2, (1/3)t3> r'(t) = <2, 2t, t2> From bounds of t: 0 to 1. So length = integral of the modulus of r'(t): Integral of sqrt(t4+4t2+4) I'm just dead stuck on how to attack it. I tried to make it integral of sqrt((t2+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 = t4 help at all? Any help is appreciated!