(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Basic Question. My book describes the rate of heat transfer per unit of system area as [itex]\dot{Q}[/itex]=[itex]\int[/itex][itex]\dot{q}[/itex]dA.

3. The attempt at a solution

I'm trying to solve for the flux. I've already discovered that the correct answer question is just the derivative of [itex]\dot{Q}[/itex] with respect to area, but this goes against other things I've read. I thought taking the derivative of an integral with respect to the same variable as the integration yields zero. For example, if I was integrating something with respect to area, and I take the derivative of the integral with respect to area, then the whole thing cancels out. Isn't this true? How would I solve for the flux in this case?

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# Solving for Flux. Basic Calculus question.

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