Integral.. Calculus problem:
R(t) = 0.4t − 20 cos(π t / 45) + 4

Using the function given, write and evaluate an expression to find the exact value for the total number of gallons of gasoline that the airplane consumes over the first ninety minutes of the flight. Show your work.

Question

Integral.. Calculus problem:
R(t) = 0.4t − 20 cos(π t / 45) + 4

Using the function given, write and evaluate an expression to find the exact value for the total number of gallons of gasoline that the airplane consumes over the first ninety minutes of the flight. Show your work.

anonymous · Answer

First thing that pops into my mind is perhaps finding the antiderivative?

fibonaccichick666 · Answer

Assuming that function you gave is the rate at which the plane uses said gasoline, then if you use a definite integral you will find your answer.

fibonaccichick666 · Answer

Your a will be 0 b will be 90 assuming t is in minutes