Find the length of the following curves between the specified intervals

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

Problem

Find the length of the following curves between the specified intervals. Evaluate the integrals unless the directions state otherwise. The answers are in Chapter 23, starting on page 570. 7.

x=\sqrt{t}

and

y=\frac{1}{t^{3}}

from

t=1

t=4

(Set up but do not evaluate the integral.)

Related theory

Parametric Functions

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