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MMLU-Pro / 8184 / compute the integral …Γ is…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

compute the integral \int_{\Gamma} \frac{x*dy-y*dx}{x^2+y^2}, where Γ\Gamma is any piecewise smooth, closed curve that encloses the origin but does not pass through it.
Plain-text mathematical notation (without MathML)
compute the integral \int_{\Gamma} \frac{x*dy-y*dx}{x^2+y^2}, where Γ is any piecewise smooth, closed curve that encloses the origin but does not pass through it.
Original LaTeX notation
compute the integral \int_{\Gamma} \frac{x*dy-y*dx}{x^2+y^2}, where $\Gamma$ is any piecewise smooth, closed curve that encloses the origin but does not pass through it.

category

math

options

  1. 3.1415926
  2. 4.6692016
  3. 1.5707963
  4. 0
  5. 2.7182818
  6. 0.5772156
  7. -3.1415926
  8. 9.8696044
  9. 6.2831852
  10. 1

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8184
task_id
6e3ee078-b031-5107-80fb-653da10337cb
task_key
default--test--8184
task_revision_id
1
config / split
default / test

Official source

initial import