Is the Equality of Integral of Complex Conjugates Always True?

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The equality of the integral of complex conjugates is confirmed to be true, specifically stating that the integral of the complex conjugate of a function equals the complex conjugate of the integral of that function. The notation ##{}^*## is understood to represent complex conjugation. Participants in the discussion unanimously agree on the validity of this equality. This confirms a fundamental property of integrals involving complex functions.
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.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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