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I have a question about an integral taken from integral tables of Gradshteyn and Ryzhik precisely , 3,914 -1 ( pag.490 ):

http://www.lepp.cornell.edu/~ib38/tmp/reading/Table_of_Integrals_Series_and_Products_Tablicy_Integralov_Summ_Rjadov_I_Proizvedennij_Engl._2.pdf

The condition to use the result of the integral regards the real part of the two parameters .

But if we do not have the real part but only imaginary part ,what we can do ?

I can not find an integral which permits to overcome this difficulty.

I can not understand the role of this condition, it is really necessary or in this case I can use the integral without it?

Thanks to all.

http://www.lepp.cornell.edu/~ib38/tmp/reading/Table_of_Integrals_Series_and_Products_Tablicy_Integralov_Summ_Rjadov_I_Proizvedennij_Engl._2.pdf

The condition to use the result of the integral regards the real part of the two parameters .

But if we do not have the real part but only imaginary part ,what we can do ?

I can not find an integral which permits to overcome this difficulty.

I can not understand the role of this condition, it is really necessary or in this case I can use the integral without it?

Thanks to all.

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