Suppose $we$ want $to$ evaluate the definite integral, ${\displaystyle \underset{4}{\overset{\phantom{}}{}}}r\sqrt[\phantom{2}]{1880-3r^2}dr$ using the substitution, $u=1880-3r^2.$

Part $1.$

$Re-$write the definite integral $in$ terms $of$ the variable $u$ and remember $to$ use the $limitsof$ integration for the function $u=f(r).$ Then, input the antiderivative $of$ the

integrand and the $limitsof$ integration you found.

Note: Type your answers above $in$ such a way that the lower $limitof$ integration $is$ less than the upper $limitof$ integration.

Part $2.$

Finally, evaluate the original integral $by$ evaluating the antiderivative using $limitsof$ integration from Part $1.$ above.

${\displaystyle \underset{4}{\overset{25}{}}}r\sqrt[\phantom{2}]{1880-3r^2}dr=$