Fitting data with integral function

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I wanted to fit my data to the following equation.
y= integration(0,infinity)[(1/Dt)exp(-Dt)cos(xt)exp(-t)dt]. D is unknown parameter I am trying to extract. Can anbody help me with code lines?

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Vimal Rathod
Vimal Rathod 2019-8-16
Refering to the following links might help you addressing your issue and gain more information on it:

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