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Calc

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Compute the average value of f(x) = x/(x+3) over the interval [-a,a], 0 < a < 3.

a. 1 + (3/2a)ln[(3-a)/(3+a)]
b. 2a + 3ln[(3-a)/(3+a)]
c. 3/(9-a^2)
d. 1/(2a)
e. None of the above

  • Calc - ,

    x/(x+3) = 1 - 3/(x+3)
    Integral is x - 3ln(x+3)

    evaluate at a and -1, divide by 2a to get

    (a): 1 + (3/2a)ln[(3-a)/(3+a)]

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