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Calculus

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Find the average value of the function on the given interval:
f(x) = e^x/5, [0,5]

  • Calculus - ,

    you are looking at dividing the definite integral of f(x) from 0 to 5 by the length of the interval, namely (5-0)=5.
    ∫(1/5)exdx
    =(1/5)[ex] from 0 to 5
    =(1/5)(e5-e0)
    =(1/5)(148.413-1)
    =29.483
    The average over the interval
    =29.483/5
    =5.8965

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