Question

evaluate the integral of
$y ^{2}dx + {z}^{2}dy + {x}^{2}dz$
where c is the triangular closed path joining the points (0 0 0 ),(0 a 0) and (0 0 a) by transforming the integral to surface integral using stock theorem​

Answer 1

Answer:

We usually picture the gradient vector with its tail at (x, y), ... the function f = x + y and the parabola y = x2 in the x-y plane, for 0 ≤ x ≤ 2. ... What is the area of the surface thus formed?