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Question: Answered & Verified by Expert
\(\int_{-\pi}^\pi x^2(\sin x) d x=\)
MathematicsDefinite IntegrationAP EAMCETAP EAMCET 2020 (17 Sep Shift 1)
Options:
  • A \(\pi^2\)
  • B \(\frac{\pi^2}{2}\)
  • C 0
  • D \(2 \pi^2\)
Solution:
2711 Upvotes Verified Answer
The correct answer is: 0
\(\int_{-\pi}^\pi x^2(\sin x) d x\)
\(x^2(\sin x)\) is an odd function
So, \(\int_{-\pi}^\pi x^2(\sin x) d x=0\)

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