Question

I have the answer can somone please check me.....
If E(t) represents the energy consumed in a househole in watts/ month what are the units of

Answer 1

\[\int\limits_{a}^{b}E(t)dt\]

Answer 2

integration is summing up E* dt (energy * time)

if E is in watts/month and time is measured in months , the units are
watts/month * month
which you can simplify

Answer 3

I think the answer is watts/month^2

Answer 4

is that correct

Answer 5

\[ \frac{watts}{month} \cdot month \]

Answer 6

or , if you like
\[ \frac{watts}{month}\cdot \frac{months}{1} \]

Answer 7

right so then the answer is watts/month^2

Answer 8

if it were numbers, for example
\[ \frac{4}{2} \cdot \frac{2}{1} \]
what do you get ?

Answer 9

oh are you saying it is just watts is the answer

Answer 10

yes, it is just watts

\[ \frac{watts}{months} \cdot months = watts \cdot \frac{months}{months} = watts \]

Answer 11

ok thanks I understnad now months get canceled out thanks