Question

State Green s theorem and verify for ∮c(x²+y²)dx+(3y+2x)dy ,where C is triangle with vertices at (0,0),(1,0),(1,1)

Answer 1

The green’s theorem states that the line integral is equivalent to the double integral of its quantity across the contained region. Since the region is both horizontally and vertically simple, then the two-line integrals across this line cancel each other out.