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Integrate function 𝑓(𝑢, 𝑣) = 𝑣 − √𝑢 over the triangular region cut from the first quadrant of the uv-plane by the line u + v = 1. Plot the region of interest.

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jessupj
jessupj 2021-2-9
you need to first identify whether you want to solve this numerically or symbolicallly

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the cyclist
the cyclist 2021-2-9

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This seems like a homework problem, so here is a hint instead of an answer: Your problem is extremely close to the first example in the documentation for the integral2 function.
(Assuming, as @jessupj asks, that you are OK with a numerical solution.)

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JIANGWEN DONG
JIANGWEN DONG 2021-2-9
hi, I have already done the code, but how do I plot it out in the first quadrant?
figure(2);
f = @(u,v) v-sqrt(u);
vmax = @(u) 1-u;
q = integral2(f,0,1,0,vmax);
the cyclist
the cyclist 2021-2-9
You could use the mesh or surf functions to plot the 3-d surface.

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