Determine the exact length of the curve given by and for .

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Determine the exact length of the curve given by

x(t)=t

and

y(t)=\dfrac{t^{2}}{2}

for

0\le t \le 1