1. The problem statement, all variables and given/known data Find arc length of the graph of r(t) = ti + ( (t6/6) - (6/t4) )j + t√3 k 1≤t≤2 2. Relevant equations Arc length = ∫ ||dr/dt|| dt (Integral from t0 to t1 of norm of derivative of r) 3. The attempt at a solution dr/dt = i + (t5 + 24/(t3) )j + √3 k 12 = 1 (√3)2 = 3 (t5 + 24/(t3) )2 = t10 + 48t2 + 576/t6 ||dr/dt|| = √(1 + 3 + t10 + 48t2 + 576/t6) I get stuck here because I do not know how to integrate that. It doesn't seem anywhere close to a perfect square. Did I make a mistake somewhere, or is there some kind of property to integrate this?