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Multivariable CalculusEasyVector Calculus

Vector Calculus · Easy problem

Evaluate ∫Cz dx+x dy+y dz\displaystyle\int_C z\,dx + x\,dy + y\,dz, where CC is the twisted cubic r(t)=(t,  t2,  t3)\mathbf r(t) = (t,\; t^2,\; t^3), 0≤t≤10\le t\le 1.