A thin rod of length has linear density given by kilograms per meter

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A thin rod of length

2\text{ m}

has linear density given by

\lambda(x)=3x^{2}

kilograms per meter, where

x

is the distance in meters from one end of the rod. Calculate the mass of the rod. (a)

12\text{ kg}

(b)

4\text{ kg}

(c)

8\text{ kg}

(d)

24\text{ kg}