Determine a definite integral that represents the length of the curve defined…

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

Problem

Determine a definite integral that represents the length of the curve defined parametrically by

x(t)=t^{2}

and

y(t)=t^{3}

for

0\le t\le 2

. Do not evaluate the integral.