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If $f*(x)$ is the complex conjugate of $f(x)=cos(x) + i\: sin(x)$, then for real $a$ and $b$, $\int _{a}^{b}f*\left ( x \right )f\left ( x \right )$ is $ALWAYS$

  1. positive
  2. negative
  3. real
  4. imaginary
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