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## Main Question or Discussion Point

How do I do it? For example, if I have:

[tex]\int_{0}^{\infty}sf(x) dx[/tex]

How do I take the derivative with respect to x?

I was trying to derive the formula for an inverse laplace transform when I realized that I didn't know how to take the derivative of a definite integral.

[tex]\int_{0}^{\infty}sf(x) dx[/tex]

How do I take the derivative with respect to x?

I was trying to derive the formula for an inverse laplace transform when I realized that I didn't know how to take the derivative of a definite integral.