Calculus

posted by .

How do I determine the area of a region bounded by a function and the x-axis if given y=cosx and interval is [0,ð/2]. This has to do with the Fundamental Theorem of Calculus. Thanks in advance!

  • Calculus -

    FTC says that the area is the definite integral.

    area = Int(cosx)[0,pi/2]
    = sinx [0,pi/2]
    = 1 - 0
    = 1

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    I am doing the AP calculus review, these are the questions I have no Idea on how to do: 1. if 0<= k <=pi/2 and the area under the curve y-cosx from x=k to x=pi/2 is 0.2, then k= 2. let F(x) be an antiderivative of (ln x)^4/x …
  2. 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 …
  3. calculus

    A region is bounded by the function y=2x^2+3 and the x-axis over the interval(0,2). Sketch the graph of the bounded region. Use the limit process to find the area of the bounded region. Explain the step in this limit process. Please …
  4. Calculus

    These are the two problems from my homework I don't get.. can you help me?
  5. Calculus 1

    Use the fundamental theorem of calculus to find the area bounded by f(x)=3 square root of x+2x and the x-axis between x-=0 and x=1
  6. Calculus Help!!

    Region R is bounded by the functions f(x) = 2(x-4) + pi, g(x) = cos^-1(x/2 - 3), and the x axis. a. What is the area of the region R?
  7. math

    Determine the area of the region bounded by the given function, the x-axis, and the given vertical lines. The region lies above the x-axis. f(x)=4x√ , x=1 and x=4
  8. Calculus

    Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the function and the x-axis over the given interval. f(x) = x^2 + 4x, [0, 4]
  9. calculus

    Find the area of the region bounded by the graph of f(x)=x(x+3)(x+1) and the x-axis on the interval [-3,0]
  10. calculus review please help!

    1) Find the area of the region bounded by the curves y=arcsin (x/4), y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative. 2)Set up, but do not evaluate, the …

More Similar Questions