Double and triple integration over rectangular regions can be performed in MATLA

Question

Double and triple integration over rectangular regions can be performed in MATLAB by calling respectively the dblquad and triplequad commands, the syntax is respectively: dbl_integ = dblquad (fun, xmin, xmax, ymin, ymax) triple_integ = triplequad (fun, xmin, xmax, ymin, ymax, zmin, zmax) where fun is a function handle, and xmin, xmax, ymin, ymax, zmin, zmax are respectively the lower and upper bounds of the integration variables. Find the volume bounded by the x-y plane, the x = 0 plane, the x = 1 plane, the y = 0 plane, the y = 1 plane, and the surface z = 1 + x2 + y3. Find the volume of a hemisphere of radius R = 2. (Hint: Integrand should be set equal to zero outside the proper region of integration.)

Explanation / Answer

%Set up integral vector u(1:1000) = 0; %Find the integral for n = 1:999; if( (t(n)>= -1) & (t(n)=0) & (t(n)2 ) ) u(n) = 1.*t; end end subplot(3,1,3); plot(t,u);

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