How to calculate the stream function from the velocity vectors which are stored as matrices?

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DHARANYA V VANCHINATHAN
This is the equation for the stream function.I have u and v as matrices and the MATALB functions trapz and cumtrapz are for definite integrals.I'm not sure how to get S(x,y) matrix from this equation.
This is the wikipedia link for stream function : https://en.wikipedia.org/wiki/Stream_function

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