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Let's find the flux of F(x,y,z) = (x,z,0) across the paraboloid z=x^2+y^2 with outward-pointing orthogonal vectors. We go through how to set up this vector surface integral computation and then compute it. Error: at 8:10 I pulled -2 out front, but didn't change the sign of the second term (luckily that term has an integral of 0, so the final answer is correct). If you would like to see a flux integral computed with Stokes Theorem and with the Divergence Theorem (Gauss' Theorem), check out https://youtu.be/joy7ntJmh_0. If you are visiting my channel, please subscribe and check out the rest of my lectures on Multivariable Calculus! #calculus #multivariablecalculus #mathematics #flux #iitjammathematics #calculus3 #surfaceintegral
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