calculus

posted by .

Write the definite integral for the area of the region bounded by the grpahs of y=9-x^2 and y=0

  • calculus -

    the curve crosses the x-axis at x = -3 and x=3

    The integral is

    Int(9-x^2) dx [-3,3]

    in suitable notation.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Would someone clarify this for me... Is antiderivatives just another name for intergral and why is intergral of a function is the area under the curve?
  2. Calculus Check

    The region R is bounded by the x-axis, x = 1, x = 3, and y = 1/x^3. Here is what I have so far: Radius = 1/(x^3) Area of Cross Section = pi(1/(x^3))^2 Simplified: pi(1/(x^6)) Volume = (definite integral from 1 to 3) pi(1/(x^6)) dx …
  3. calculus

    1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x+3). Show the integral used, the limits of integration and how to evaluate the integral. 2. Find the area of the region bounded by x=y^2+6, x=0 , y=-6, and y=7. Show …
  4. Calculus

    Write the definite integral for the area of the region lying in the upper half of the ellipse given by 4x^2+y^2=4
  5. Calculus check

    The functions f and g are given by f(x)=sqrt(x^3) and g(x)=16-2x. Let R be the region bounded by the x-axis and the graphs of f and g. A. Find the area of R. B. The region R from x=0 to x=4 is rotated about the line x=4. Write, but …
  6. Calculus

    The following definite integral gives the area of the region between the graph of the function f(x) = Icosx - x^2I (I=modulus), the x-asis, and the lines x=-2 and x=2. the integral of mod cosx - x^2 from -2 to 2. Describe a different …
  7. AP Calculus AB

    Which integral gives the area of the region in the first quadrant bounded by the axes, y = e^x, x = e^y, and the line x = 4?
  8. 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 …
  9. Calculus - Integrals

    Consider the region enclosed by the graphs of x=y^2-5 and x=3-y^2 a)Express the area of this region by setting up an integral with respect to x b) Express the area of this region by setting up an integral with respect to y c) Find …
  10. Calculus

    Find the area of the region bounded by the curves of y=sin^-1(x/4), y=0, and x=4 obtained by integrating with respect to y. Your work must include the definite integral and the anti-derivative. I am really confused on this question. …

More Similar Questions