# 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.

## 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?