In each part, evaluate C 2xy3 dx + (1 + 3x2y2) dy overthe curve C, and compare your
Chapter 15, Problem 7(choose chapter or problem)
In each part, evaluate \(\int_{c} 2 x y^{3} d x+\left(1+3 x^{2} y^{2}\right) d y\) over the curve \(C\), and compare your answer with the result of Example 5.
(a) \(C\) is the line segment from \((1, 4) to (3, 1)\).
(b) \(C\) consists of the line segment from \((1, 4) to (1, 1)\), followed by the line segment from \((1, 1) to (3, 1)\).
Equation Transcription:
(1,4) to (1,1)
(1,1) to (3,1)
Text Transcription:
Integral_c 2xy^3 dx + (1+3x^2 y^2)dy
C
(1,4) to (3,1)
(1,4) to (1,1)
(1,1) to (3,1)
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