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I have this problem

[tex]\frac{\partial}{\partial\,x}\int_0^{∞}\log(1+x)\,f_X(x)\,dx[/tex],

where x is a random variable, and f_X(x) is its probability density function.

It's been a long time since I encountered a similar problem, and I forgot how to do this. Do we use Leibniz integral rule here?

Thanks

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# Derivative of integral

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