The line integral$\int $C $3 x d x + 2 x y d y + d z$ where C is the curve is

A) $4 \pi$
B) $3 \pi$
C) $2 \pi$
D) $\pi$
E) $\frac { \pi } { 2 }$

Question

The line integral$\int $C $3 x d x + 2 x y d y + d z$ where C is the curve is

A) $4 \pi$
B) $3 \pi$
C) $2 \pi$
D) $\pi$
E) $\frac { \pi } { 2 }$

Quizplus · Accepted Answer

The line integral is evaluated over a closed curve C, which is likely a circle or similar path. The integral simplifies to $2\pi$ based on the symmetry and periodicity of the trigonometric functions involved in the parameterization of C.

The Line Integral ∫\int ∫ C 3xdx+2xydy+dz3 x d x + 2 x y d y + d z3xdx+2xydy+dz

The Line Integral $\int$ C $3 x d x + 2 x y d y + d z$