Is the Equality of Integral of Complex Conjugates Always True?

[EngWiPy]

Hello all,

Is the following equality true

[tex]\int(f(x))^*\,dx=\left(\int(f(x))\,dx\right)^*.[/tex]

Thanks

 

[micromass]

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

 

[EngWiPy]

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

Yes it is. Thanks

 

[monikakaur]

It is right.

 

[CellCoree]

for your question. The equality you have provided is not necessarily true. In general, the complex conjugate of an integral is not equal to the integral of the complex conjugate function. However, there may be certain cases where this relation holds, such as when the function f(x) is real-valued or when the integral is taken over a symmetric interval. It is important to carefully consider the properties of the function and the interval of integration before assuming this relation is true.