The density of vehicles (number per mile) during the evening rush hour for the 20 mile stretch along a certain highway is given by f(x), where x is the distance in miles south of mile marker 24. Which of the following gives the number of vehicles on this 20 mile stretch from mile maker 24?

Question

anonymous · Answer

https://gyazo.com/7da4cf5e2a3de8b9fd8976974e5bd348

anonymous · Answer

@jim_thompson5910  @Ephemera

anonymous · Answer

Sorry bruh, this is where I leave.

anonymous · Answer

@satellite73

anonymous · Answer

Correct me if I'm wrong, would this not be A @jim_thompson5910  since you the distance is unknown.

jim_thompson5910 · Answer

you might be thinking of FTC 1

jim_thompson5910 · Answer

but you'd have to use two variables

jim_thompson5910 · Answer

The answer would be $$\Large \int_{0}^{20}f(x)dx$$ because we want to find out how many cars are on the 20 mile stretch of road


integral of density function = mass function