calculus

posted by .

consider the function f(x) = e^x(sinNx) on the interval [0,1] where N is a positive integer.

a) Compute the integral from 0 to 1 of f(x). Evaluate this integral when N=5, N=10, and N=100.
B) What happens to the graph and to the value of the integral as N-->infinity? Does the graph confirm the limiting behavior of the integral's value?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus II/III

    A. Find the integral of the following function. Integral of (x√(x+1)) dx. B. Set up and evaluate the integral of (2√x) for the area of the surface generated by revolving the curve about the x-axis from 4 to 9. For part …
  2. Calculus

    I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}?
  3. calculus

    consider the function f(x) = e^x(sinNx) on the interval [0,1] where N is a positive integer. a) Compute the integral from 0 to 1 of f(x). Evaluate this integral when N=5, N=10, and N=100. B) What happens to the graph and to the value …
  4. calculus II

    I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}?
  5. calculus

    Posted by Paul on Friday, February 19, 2010 at 3:57am. I have the function f(x)=e^x*sinNx on the interval [0,1] where N is a positive integer. What does it mean describe the graph of the function when N={whatever integer}?
  6. Calculus II

    1) Compute the indefinite integral: integral 2x ln(x^2 - 8x + 18) dx 2) Note that x^4 + 1 = (x^4 + 2x^2 + 1) = (x^2 + 1)^2 - (sqrt2x)^2 ... use this trick to compute the following indefinite integral as an elementary function (with …
  7. Calculus

    Let f be a continuous function on the interval [0,2] which satisfies integral of f(x)dx=5 when b is 2 and a is 0. Give this information compute the definite integral f(2y)dy when b is 1 and a is 0. Solve this
  8. Calculus (urgent help)

    consider the function f that is continuous on the interval [-5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: …
  9. calculus

    consider the function f that is continuous on the interval [-5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: …
  10. calculus (please with steps and explanations)

    consider the function f that is continuous on the interval [-5,5] and for which the definite integral 0(bottom of integral sign) to 5(top of integral sign) of f(x)dx=4. Use the properties of the definite integral to evaluate each integral: …

More Similar Questions