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MMLU-Pro / 8519 / Passing to polar coordinates, calculate the double integral iint_S ydxdy with…

Problem

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

question

Passing to polar coordinates, calculate the double integral $\iint_S ydxdy$ with yy > 0, where S is a semicircle of a diameter 1 with center at point C(1/2, 0) above the X axis.
Plain-text mathematical notation (without MathML)
Passing to polar coordinates, calculate the double integral $\iint_S ydxdy$ with y > 0, where S is a semicircle of a diameter 1 with center at point C(1/2, 0) above the X axis.
Original LaTeX notation
Passing to polar coordinates, calculate the double integral $\iint_S ydxdy$ with $y$ > 0, where S is a semicircle of a diameter 1 with center at point C(1/2, 0) above the X axis.

category

math

options

  1. 0.333
  2. 0.1666
  3. 0.5
  4. 0.125
  5. 0.625
  6. 0.25
  7. 0.0833
  8. 1
  9. 0.1
  10. 0.75

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8519
task_id
d527af00-7dd8-59a5-b4dc-1708a7c2695b
task_key
default--test--8519
task_revision_id
1
config / split
default / test

Official source

initial import