Is the Equality of Integral of Complex Conjugates Always True?

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Discussion Overview

The discussion centers around the equality of the integral of complex conjugates, specifically whether the expression \(\int(f(x))^*\,dx=\left(\int(f(x))\,dx\right)^*\) holds true. The scope includes mathematical reasoning related to complex functions and integrals.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • One participant questions the validity of the equality and seeks clarification on whether ##{}^*## denotes complex conjugation.
  • Several participants affirm that if ##{}^*## represents complex conjugation, then the equality is indeed true.
  • Another participant simply states that the equality is correct without further elaboration.

Areas of Agreement / Disagreement

There appears to be general agreement among participants that the equality holds true if ##{}^*## is understood as complex conjugation. However, the initial question about the notation indicates some uncertainty regarding its interpretation.

EngWiPy
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Hello all,

Is the following equality true

\int(f(x))^*\,dx=\left(\int(f(x))\,dx\right)^*.

Thanks
 
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Is ##{}^*## the complex conjugation?? Then it is indeed true.
 
micromass said:
Is ##{}^*## the complex conjugation?? Then it is indeed true.

Yes it is. Thanks
 
It is right.
 

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