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MMLU-Pro / 9022 / suppose x=√(17)/17. what is the value of …

Problem

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

question

suppose x=17/17x=\sqrt{17}/17. what is the value of 2π∫0+∞sin2tt2cos(2xt)dt\frac{2}{\pi} \int_0^{+\infty} \frac{\sin ^2 t}{t^2} cos(2xt) dt? Rounding it to the hundredths place and return the value.
Plain-text mathematical notation (without MathML)
suppose x=√(17)/17. what is the value of (2)/(π)∫₀^(+∞)(sin²t)/(t²)cos(2xt)dt? Rounding it to the hundredths place and return the value.
Original LaTeX notation
suppose $x=\sqrt{17}/17$. what is the value of $\frac{2}{\pi} \int_0^{+\infty} \frac{\sin ^2 t}{t^2} cos(2xt) dt$? Rounding it to the hundredths place and return the value.

category

math

options

  1. 1.000
  2. 1.234
  3. 0.682
  4. 0.501
  5. 0.589
  6. 0.927
  7. 0.815
  8. 0.757
  9. 0.875
  10. 0.642

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
9022
task_id
586a22da-8b28-55d6-8042-399d8e71193f
task_key
default--test--9022
task_revision_id
1
config / split
default / test

Official source

initial import