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MIT Integration Bee Competition (2006)

  • The author initially considered integration by parts and u-substitution methods to solve the problem.
  • They used a different approach by focusing on the boundaries and performing a U-substitution with u = π/2-x.
  • The author applied a trig identity to eliminate the negative sign in the integration bounds.
  • By summing up the two resulting integrals and using trigonometric identities, they obtained the final solution.

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