I think the derivation you wrote is wrong but the outcome is correct. Looks like a typo. Wouldn’t the integration by parts step give us u\mu(u) - \int \mu(u)du ?
Also I believe that this is possibly the building blocks of the Laplace Transform. It looks really similar at least.
I think the derivation you wrote is wrong but the outcome is correct. Looks like a typo. Wouldn’t the integration by parts step give us u\mu(u) - \int \mu(u)du ?
Also I believe that this is possibly the building blocks of the Laplace Transform. It looks really similar at least.
oops, yeah, that’s a typo, thanks for pointing out, i fixed it now