Line integral and parametrization

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The discussion revolves around solving the line integral ∫_{c} 2xyzdx + x^2 zdy + x^2 ydz, where C connects the points (1, 1, 1) and (1, 2, 4). The user has chosen the parametrization (1, 1+t, 1+3t) but is unsure about the limits for t. Another participant confirms the parametrization is correct and prompts clarification on the specific t values for the endpoints. The user expresses frustration with their understanding of the limits. The conversation highlights the importance of correctly identifying parameter limits in line integrals.
Tony11235
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I know this is dumb question but for some reason I have not been able to get the right answer to the following problem:

\int_{c} 2xyzdx+x^2 zdy+x^2 ydz

where C is a curve connecting (1, 1, 1) to (1, 2, 4).

My parametrization is (1, 1+t, 1+3t). My limits are the problem...I think. By the way the correct in answer in the book is 7.
 
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Tony11235 said:
I know this is dumb question but for some reason I have not been able to get the right answer to the following problem:

\int_{c} 2xyzdx+x^2 zdy+x^2 ydz

where C is a curve connecting (1, 1, 1) to (1, 2, 4).

My parametrization is (1, 1+t, 1+3t). My limits are the problem...I think. By the way the correct in answer in the book is 7.

Your parametrization is fine. You said your limits are the problem, but which are you using? Which value t would give your first point? The second?

Alex
 
OMG...I am retarted. :bugeye:
 

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