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Integral wit Norm function

• To: mathgroup at smc.vnet.net
• Subject: [mg88271] Integral wit Norm function
• From: Miguel <misvrne at gmail.com>
• Date: Wed, 30 Apr 2008 04:24:48 -0400 (EDT)

How can I to calculate the integral of an expression which include
Norm function?. By example,

Let the curve  alfa[t_]:={t^2,4t, 8t^3}. Calculate
Integral[Norm[alfa[t]],{t,1,a}], where a is Real and >0.

Thanks