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MMLU-Pro / 8626 / Compute the real integral I=∫_(−∞)^(∞)1/(x²+1)²dx.

Problem

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

question

Compute the real integral I=∫−∞∞1/(x2+1)2dxI=\int_{-\infty}^{\infty} 1/(x^2 + 1)^2 dx.
Plain-text mathematical notation (without MathML)
Compute the real integral I=∫_(−∞)^(∞)1/(x²+1)²dx.
Original LaTeX notation
Compute the real integral $I=\int_{-\infty}^{\infty} 1/(x^2 + 1)^2 dx$.

category

math

options

  1. 6.28
  2. 5.55
  3. 3.67
  4. 2.78
  5. 3.14
  6. 2.46
  7. 1.57
  8. 4.67
  9. 1.23
  10. 0.78

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8626
task_id
e20ceb51-9acd-57af-9e6a-c346828d38e1
task_key
default--test--8626
task_revision_id
1
config / split
default / test

Official source

initial import