How would I take the derivative of the integral from 0 to x of Cos(x t)/t dt. How can I use the second fundamental theorem of calculus if there is an x inside the cos function?

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is the derivative with respect to t

No, the derivative is wrt to x

\[ \frac{ d }{ dx}\int\limits_{0}^{x}\frac{Cos(x t)}{t}dt\]

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