The volume integral \(I = \int \int \int_v \vec{A} \cdot \vec{\nabla} \times \vec{A} d^3 x \) is over a region V bound by a surface S. If there is an infinitesimal change in A to \(A + \nabla \Lambda \) and I .what is the expression for the infinitesimal change in I?
1
\(\Delta I = \int \int_c \vec{A} dS \)
2
\(\Delta I = \int \int_c (\nabla \Lambda \times \vec{A} ) dS \)
3
\(\Delta I = \int \int_c (\nabla \times \Lambda ) dS \)
4
\(\Delta I = \int \int_c \nabla \Lambda dS \)
5
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