Recent content by Billy.Ljm

bump?

I have 2 questions, which are related, and was hoping someone could help me clear things up. First question, isn't the Otto cycle reversible and usable as a refrigerator? Referring to the diagram above & let me go part by part. AD: Assume the corresponding part of the working substance is...

Oh god, I just figured it out, right after posting this. I swear I was confounded for hours before this. ln(kx) works as well. ln(kx) = ln(x) + ln(k) and the ln(k) would cancel out in any definite integrals. But that would still mean there are an infinite number of indefinite integrals...

If k is a constant, I know \frac{d}{dx} \ln(x) = \frac{1}{x} \frac{d}{dx} \ln(kx) = \frac{k}{kx} = \frac{1}{x} However, what about \int\frac{1}{x}. I've been taught to use \int\frac{1}{x} = \ln(x), but wouldn't \int\frac{1}{x} = \ln(kx) work as well. And if this is true, there are an...