The problem involves evaluating the line integral ∫(x+2y)dx+(x^2)dy over a specified path consisting of two line segments. The context is within the subject area of vector calculus, specifically focusing on line integrals.
Some participants have shared their work and results, indicating a lack of agreement on the final value of the integral. There is an ongoing exploration of potential mistakes in the calculations, with requests for clarification and further assistance.
Participants express uncertainty about their approaches and the expected outcome, with one participant noting the expected answer is 5/2, while others have arrived at different results. The discussion reflects varying interpretations of the problem setup and calculations.
ahhppull said:Homework Statement
Evaluate the line integral ∫(x+2y)dx+(x^2)dy, where C consists of the line segments from (0,0) to (2,1) and (2,1) to (3,0)
Homework Equations
The Attempt at a Solution
I'm unsure of what to do. I did (1-t)r0 + t(r1) for (0,0) to (2,1) and (2,1) to (3,0). I didn't get the answer, which is 5/2 however.
I agree with 16/3, and I applied the same method for the second segment to get a total of 5/2. So your mistake must be in working you have not posted.ahhppull said:= 16/3
Then I did this same thing for the from (2,1) to (3,0) and added the two numbers.