The question is incomplete. The complete question is :
The fuel efficiency for a new helicopter engine is given by the continuous function r(c) where r is measured in gallons per mile and c is measured in miles. What are the units of [tex]$\int_0^7 r(c) \ dc$[/tex] ?
Solution :
The given continuous function is :
r(c), here c is measured in miles and the unit of r is measured in gallons per mile.
So the unit of [tex]$\int_0^7 r(c) \ dc$[/tex] is given by :
= gallons per mile x mile
= gallons
So, the final unit is gallons.
