Let C be a simple closed smooth curve that lies in the plane x + y +

Question:

Let C be a simple closed smooth curve that lies in the plane x + y + z = 1. Show that the line integral
ʃz dx - 2x dy + 3ydz
depends only on the area of the region enclosed by C and not on the shape of C or its location in the plane.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: