Question: Please provide the full solution, thanks! 3. Compute I = ydA where D is the surface z = x2 + y + 5 with x,

Please provide the full solution, thanks! 3. Compute I = ydA

Please provide the full solution, thanks!

3. Compute I = ydA where D is the surface z = x2 + y + 5 with x, y e [-2, 2] and y 2 -x. Contours of y are shown on D in the figure below. 2 OX - 1 -2 210 6 2 1 -2 Since D varies in 3 variables you must compute the surface integral as I = J/ dA Here, n . n* set n* = k. Note: with a, b positive real numbers, (a + ba2)3/2 dx = - (5a + 2ba?) va + bx2+ 302 log (bax + vbva + bx2 ) + C 8vb

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