Units of a definite integral not as expected

[DS_10992366]

I have created the below set of equations, however the solution for the definite integral should be Joules, not Watts.

I have shown a solution for QdotDOOR to show that I am getting the correct units at that point.

Can anyone advise where I have gone wrong?

For reference, I am trying to find the heat transfer through a door over a 15 minute duration.

[Werner_E]

You are integrating from 0 to 15 - dimensionless!!!

Try to add unit "min" at the integral limits (it may not be necessary for the lower 0, but its good habit to add it there, too) and you will get the dimension you expect 😉

BTW, the range for t you define has no effect whatsoever. If you don't intend it to use for plotting, you may delete that definition.

[DS_10992366]

I tried this, and it returns the error "These units are not compatible." I have retried again, assigning units to one and both the limits, with or without the range. 

Range - I see, I thought maybe defining the range would've "assigned" units to t.

[AlanStevens · Accepted solution]

Like so:

Alan

[DS_10992366]

Great, thanks Alan!