Evaluate the integral ∫∫S 3x^2 dxdy, where S is the surface given by the parametric equations s, x = u cos v, y = u sen v, with 0 ≤ u ≤ 2, 0 ≤ v ≤ ...
Evaluate the integral ∫∫S 3x^2 dxdy, where S is the surface given by the parametric equations s, x = u cos v, y = u sen v, with 0 ≤ u ≤ 2, 0 ≤ v ≤ 2π. Considering that the Jacobian of the transformation is J = u.
The Jacobian of the transformation is J = u.
The integral can be transformed into polar coordinates.
The result of the integral is 12π.
The Jacobian of the transformation is J = u.
The integral can be transformed into polar coordinates.
The result of the integral is 12π.
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