Answer to Question #110311 in Calculus for AT-Atri, PO/PS-Baghamari, DIST-Khordha

Question

Use stokes theorem to evaluate the integral

Answer 1

The stoke's theorem is :

$∮_CF⃗ .dr=∬_S(▽×F⃗ ).dS$

Where,

C = A closed curve.

S = Any surface bounded by C.

F = A vector field whose components have continuous derivatives in an open region of R3 containing S.