9231 P1 - Nov 2008 - Q1 - 5 marks
6464
The curve \(C\) is defined parametrically by
\(x=t^{4}-4 \ln t, \quad y=4 t^{2} .\)
Show that the length of the arc of \(C\) from the point where \(t=2\) to the point where \(t=4\) is
\(240+4 \ln 2 .\)
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