Question:

The value of the line integral for the vector,
\(\overrightarrow𝑣=2π‘₯Μ‚ +𝑦𝑧 ^2𝑦̂ +(3𝑦+𝑧 ^2 )𝑧̂ \)
along the closed path OABO (as shown in the figure) is: 
the line integral for the vector-along the closed path OABO
(Path AB is the arc of a circle of unit radius)

Updated On: Nov 23, 2024
  • \(\frac{1}{4}(3\pi-1)\)
  • \(3\pi-\frac{1}{4}\)
  • \(\frac{3\pi}{4}-1\)
  • \({3\pi}-1\)
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The Correct Option is A

Solution and Explanation

The correct option is (A): \(\frac{1}{4}(3\pi-1)\)
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