Q.54 let c be the boundary of the region enclosed by y = x*, y = x +2, and x = 0. then the value of the line integral (xy-ydx- z'dy, where c is traversed in the

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Vishal goswami Best Answer
see attachment
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Loyal chakma
after solving I got 0.533 but the answer is 0.8
Deepak singh
there is confusion whether second quadrant included or not , I think there is problem in question .
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Loyal chakma
I have been trying this whole evening sir😩...I don't know why it doesn't work using greens but it works using simple line integral technique
Piyush
PFA.
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Deepak singh
sir , why we have not considered second quadrant region ( it is also bounded by y=x^2 , y=x+2, and x= 0 )?
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Arjun Yadav
See this. I hope it helps
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Loyal chakma
why wasn't the region in the second quadrant included?
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Arjun Yadav
work on your calculations. See if it matches with my solution.
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Loyal chakma
yes sir! its fine till we don't consider the region in the second quadrant..but why the region in the second quadrant cannot be considered?
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Arjun Yadav
in question, it is clearly given that region is bounded between other two and x=0
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Loyal chakma
okay then mate it is!
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Arjun Yadav
C is boundary of the regions enclosed. Hence, it is not included. If you still have problem in understanding. You can refer to the theoretical portion in several books
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Arjun Yadav
you must know the limitations of application of Green's Theorem. x=0 will be meaningless if you will include that region
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Vishal goswami
if u satisfied then consider as answer.
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Arjun Yadav
Not sir, mate. I am a student too.
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