Question

See attachment, anyone help me, please

Answer 1

No attachment added...

Answer 2

\[\int\limits_{?}^{?}\int\limits_{?}^{?}\frac{ x }{ 1+xy }dA\] R =[0,1]x[0,1]

Answer 3

Well, if your region is one which is bounded by [0,1]x[0,1] , might as well put that in your integral :)
\[\large \int\limits_0^1\int\limits_0^1\frac{x}{1+xy}dxdy\]

Answer 4

thanks , I got it. just take int inner and then outer respect to x, then y respectively, is it right?

Answer 5

That's right :)

Answer 6

Or you could do y first and then x. Your call.

Answer 7

thank you, sorry friend, I think I post a wrong problem, my problem is not that, it comes from the limit of a function. can you wait for my new? sorry for my mistake

Answer 8

We'll see what I can do ^.^

Answer 9

yes, you are right, since the limits are the same

Answer 10

Not because the limits are the same, but because the limits are constants, IE, it's a rectangular region.

Answer 11

yes

Answer 12

int int y^2e^xydA, D is bounded by y=x,y=4, x=0

Answer 13

do you know what i mean?

Answer 14

\[\large \iint\limits_Dy^2e^{xy}dA\]D is the region bounded by y=x, y=4, x=0
I think I do :)

Answer 15

yes, it is , how can you put those int ?

Answer 16

\iint gives you a double integral, but if you want to put a double integral with limits, then just use two \int with limits on.

Answer 17

\iint

Answer 18

nothing

Answer 19

Well, of course, if you want to put in any maths symbols in code, using LaTex, then you have to enclose it in here
\[ \ ]
^ inside one of those

Answer 20

Or click the Equation button below, and it'll do much of the heavy work for you :)

Answer 21

ok, i'll try later, help me in math, please

Answer 22

These double integrals are usually easy, but the trick is finding the limits... So, first, let's focus on finding the region D, shall we?
Consider the xy-plane

Answer 23

Can you graph the line y = 4?

Answer 24

Just draw it over my xy-plane.

Answer 25

sure,

Answer 26

Huh... that's actually pretty good :)
I think it might be easier to do x first.... what are the limits of x?
IE
X runs from where, to where?
By the way...

Answer 27

how about the function, we don't draw it yet. Don't we have to draw it out, then find the intersections between the graph and the bounded line to know about the limit?

Answer 28

We don't draw the function itself, we'll deal with it later, when we integrate. For now, just find the limits.

Answer 29

X goes from 0 to 4, is it right?

Answer 30

Nope :)
Unless you're integrating y first
but let's integrate x first

Answer 31

no answer, dummy now

Answer 32

X doesn't ALWAYS go from 0 to 4, in fact, it only does so at the topmost part of the region.