MATLAB: Double numeric integral of a function help please

double integralintegralintegrate doublenumerical integration

Hello everyone
I want to numerically integrate a function
1-x^2-y^2
Where x^2+y^2<=1 circular area
What I tired so far is First try:
quad2d(@(x,y) 1-x^2-y^2, -1,1,-1,sqrt(1-x^2))
Second try:
syms x y
int(int(1-x^2-y^2,y, -1,sqrt(1-x^2))x,-1,1)
How can I use sqrt(1-x^2) as the boundary of the integral for y?
I know this can be done with r and theta but I want to calculate the integral by cartesian coordinates.
Could someone offer a solution?

Best Answer

You need to make the integration limit sqrt(1-x^2) a function handle. See the documentation at
     http://www.mathworks.com/help/matlab/ref/quad2d.html
In particular note where it says "q = quad2d(fun,a,b,c,d) approximates the integral of fun(x,y) over the planar region and fun is a function handle, c and d may each be a scalar or a function handle."
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