Question:medium

\( \int_{-1}^{1} x(1-x)(1+x)\, dx = \)

Show Hint

Always check symmetry before integrating—odd functions over symmetric limits directly give zero.
Updated On: May 8, 2026
  • \( \frac{1}{3} \)
  • \( \frac{2}{3} \)
  • \( 1 \)
  • \( -1 \)
  • \( 0 \)
Show Solution

The Correct Option is

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