Calculus

posted by .

f(t)= -2te^-t^2, [0,5] Find average value.
Attempt: I know that the average value is the integration of f(t) from a to b divided by b-a. I used u substitution to get u= -t^2 and du= -2xdx. I
changed the limits of integration to [0,25] and I got integral of e^u du.
I am not sure if this is right, but then would the integral of that be
just e^u and I would just plug in 25, because I did that and the answer
was wrong.

  • Calculus -

    I don't see anything wrong with your approach. Perhaps there was an arithmetic error lurking somewhere.
    What did you get for the answer?
    Did you divide the integral by 5 or 25?

  • Calculus -

    You are almost right but since u=-t^(2) the limits are [0,-25] then put them into e^(u) and you get,

    e^(-25)-e^(0)=
    e^(-25)-1

    Then divide that answer by 5 thus the answer is,

    (e^(-25)-1)/5

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    is average rate of change and average value the same or will you get a different answer for each this is calculus so it's the mean average. it's using the formula and integrating. I don't understand your question, but I can assure …
  2. Calculus

    Find the average value of f(t)=-2te^(-t^2) on the interval [0,3]
  3. Calculus

    Use the Fundamental Theorem of Calculus to find the area of the region bounded by the x-axis and the graph of y = 4 x3 − 4 x. Answer: (1) Use the Fundamental Theorem of Calculus to find the average value of f(x) = e0.9 x between …
  4. Calculus

    a)Find the average value of f(x) = e-x over the interval [0,k] b)What happens to the average value of f on [0,k] as k approaches infinity
  5. calculus

    Find the average value of the function f(x)=8x^2-5x+6 , on the interval [3,5]. Find the value of x-coordinate at which the function assumes it's average value. what is the average value = to ?
  6. Average Value - Calculus

    What is the average value of y for the part of the curve y = 4x − x^3 that is in the first quadrant?
  7. Calculus

    Find the average value of the function f(x) 8x^2-9x+8 on the interval [3,5]. Find the value of the x-coordinate at which the function assumes it's average value The average value is ?
  8. Math - Calculus

    If 75100 dollars is deposited in an account for 13 years at 5.35 percent compounded continuously , find the average value of the account during the 13 years period. The average value in the account is ?
  9. Calculus

    What is the average value of f(x) on [0,4] if the area between the graph of f (x) and the x-axis is equal to 12?
  10. Calculus

    Find the average value of the function over [1,3] and all values of x in the interval for which the function: f(x)= 4(x^2+1)/x^2 equals its average value.

More Similar Questions