Question

@Luigi0210
double integrals .-.

Answer 1

\[S_n = \sum_{k=1}^{n} \]
\[f(x_k,y_k) \Delta A_k \]

Answer 2

If f is continous throughout R, then ,as you refine the mesh or two dimensional partition width to make both delta x and delta y go to zero, the sums in the first equation approach the limit called the double integral of f over R.

Answer 3

\[\int\limits_{}^{} \int\limits_{R}^{} f(x,y) dA\]

Answer 4

you could also write it as
\[\int\limits_{}^{} \int\limits_{}^{R} f(x,y) dx~dy\]

Answer 5

the R is on the bottom* i messed up with latex ..

Answer 6

\[\int\limits_{}^{}\int\limits_{R}^{} f(x,y)~dA = \lim_{\Delta A \rightarrow 0}\sum_{k=1}^{n} f(x_k,y_k) \Delta A_k\]

Answer 7

This makes me miss calculus more ;-;

Answer 8

what are you taking ? o.o

Answer 9

Nothing at all, which is why college is boring for me
\[\large no math/science=boring=\not doing anything=\not doing hw=failing college=failing life=horrible life=hobo=death \]

Answer 10

*no math/science=boring=not doing anything=not doing hw=failing college=failing life=horrible life=hobo=death

Answer 11

D:

Answer 12

True story bro

Answer 13

dat sucks man, it'll get better .-.