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The value of line integral , where C is the line segment joining the origin to the point (2, 2, 2) and f(x, y, z) = 3x2 = 2y + z is
  • a)
    6
  • b)
    6√3
  • c)
    2√3
  • d)
    23
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The value of line integral,where C is the line segment joining theorig...
We choose the simplest parametrization we can think of  where 0 < t < 2. The component have continuous 1st order derivative and  
The line integral of f over C is,



= 6√3
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The value of line integral,where C is the line segment joining theorig...
We choose the simplest parametrization we can think of  where 0 < t < 2. The component have continuous 1st order derivative and  
The line integral of f over C is,



= 6√3
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Community Answer
The value of line integral,where C is the line segment joining theorig...
We choose the simplest parametrization we can think of  where 0 < t < 2. The component have continuous 1st order derivative and  
The line integral of f over C is,



= 6√3
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The value of line integral,where C is the line segment joining theorigin to the point (2,2,2) and f(x,y, z) = 3x2 = 2y + z isa)6b)6√3c)2√3d)23Correct answer is option 'B'. Can you explain this answer?
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