Question

The traffic flow rate (cars per hour) across an intersection is r(t)= 400 + 1000t- 270t^2, where t is in hours, and t=0 is 6am. How many cars pass through the intersection between 6 am and 9 am?
The number of cars passing through the intersection between 6 am and 9 am is 8,400.
AAAaannndd the bot gets it wrong yet again!

The number of cars in the 3-hour period is
∫[0,3] (400 + 1000t- 270t^2) dt = 3270

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