Solution Found!
?Use Green's Theorem to evaluate the line integral along the given positively oriented
Chapter 14, Problem 5(choose chapter or problem)
Use Green's Theorem to evaluate the line integral along the given positively oriented curve.
\(\int_{c} y e^{x} d x+2 e^{x} d y\),
C is the rectangle with vertices (0,0),(3,0),(3,4), and (0,4)
Equation Transcription:
∫
Text Transcription:
Integral_C ye^x dx + 2e^x dy
Questions & Answers
QUESTION:
Use Green's Theorem to evaluate the line integral along the given positively oriented curve.
\(\int_{c} y e^{x} d x+2 e^{x} d y\),
C is the rectangle with vertices (0,0),(3,0),(3,4), and (0,4)
Equation Transcription:
∫
Text Transcription:
Integral_C ye^x dx + 2e^x dy
ANSWER:
Step 1 of 2
To evaluate , where is the rectangle with vertices ,,and using Green’s Theorem.
From Green’s Theorem we have that “Let C be a positively oriented, piecewise-smooth, simple closed curve in the plane and let D be the region bounded by C. If P and Q have continuous partial derivatives on an open region that contains D, then
”. …… (1)