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MMLU-Pro / 8738 / Use Green's Theorem to evaluate oiint_{s} y^3 dx + x^3dy where C is the…

Problem

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

question

Use Green's Theorem to evaluate $\oiint_{s} y^3 dx + x^3dy$ where CC is the positively oriented circle of radius 2 centered at origin.
Plain-text mathematical notation (without MathML)
Use Green's Theorem to evaluate $\oiint_{s} y^3 dx + x^3dy$ where C is the positively oriented circle of radius 2 centered at origin.
Original LaTeX notation
Use Green's Theorem to evaluate $\oiint_{s} y^3 dx + x^3dy$ where $C$ is the positively oriented circle of radius 2 centered at origin.

category

math

options

  1. 55.32
  2. -32.214
  3. -75.396
  4. -64.428
  5. 25.132
  6. 0
  7. 100.123
  8. 80.456
  9. 150.789
  10. 40.284

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8738
task_id
ab6871e9-cb46-5c87-9d8f-3dbd9a0cab15
task_key
default--test--8738
task_revision_id
1
config / split
default / test

Official source

initial import