Use Green's Theorem to evaluate the line integral along the given positively oriented curve. C yex dx 2ex dy, C is the rectangle
with vertices (0, 0), (3, 0), (3, 2), and (0, 2)
1 answer:
Answer:
2 ( e^3 + 1 )
Step-by-step explanation:
The path of the attached Rectangle is anti-clockwise
and the Integrand: P( x, y ) dx + q ( x , y ) dy
P( x, y ) = ye^x
q ( x , y ) = 2ex
hence : dq/dx - dp/dy = 2e^x - e^x = e^x
attached below is the remaining solution
using Green's theorem
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