How do I do this?

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.

[jessupj]

you need to first identify whether you want to solve this numerically or symbolicallly

Answer 1

[the cyclist]

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.)

[JIANGWEN DONG]

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]

You could use the mesh or surf functions to plot the 3-d surface.