Question

how to integrate double integral over rectangle?

Answer 1

rectangles are simple; x = a to b, y = c to d

Answer 2

\[\int_{x=a}^{x=b}\int_{y=c}^{y=d} f(x,y)~dydx\]

Answer 3

how to find the limits?

Answer 4

how will you know if you must integrate first with respect to y and with respect to x?

Answer 5

the order dosent change the result,

Answer 6

is it possible that i integrate only with respect to x or with respect to y?

Answer 7

it depends how your rectangle is defined

Answer 8

how is your rectangle defined?

Answer 9

ah..ok tnx..

Answer 10

assuming by rectangle you mean:

then the limits are constants and not functions .... the order would be irrelevant.

if you mean by rectangle something that is more skewed in the xy plane:

it gets more complicated