Find the length of the curve:(adsbygoogle = window.adsbygoogle || []).push({});

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!

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# Homework Help: Need Help Integrating This Tricky Integrand

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