the problem is given exactly above, nothin say about first obtant (i also thought about 1st obtant, too when i read the word "portion of", but it seems not that) so i guess the intergral is infinite is right, maybe the instructor gave the wrong problem. I wasn't sure so i asked, thank you for...
Homework Statement
Evaluate \int\int (x^2 +4y + z)dS where S is the portion of the plane 3y +2z = 6 with 0<x<3
Homework Equations
choosing x, y as variables
dS = \sqrt{}(partial dz/dx)^2 + (partial dz/dy)^2 +1
The Attempt at a Solution
If i choose x, y as variables or x, z as variables...
I tried to do part and this is how i done (for the first intergral):
u = x, du = dx, v = 1/2e^(2x), dv = e^(2x)dx
uv - \int vdu
1/2xe^(2x) - \int 1/2e^(2x)dx
1/2xe^(2x) - 1/4(e^2 -1 )
x runs from 0 to 1, but 1/2xe^(2x) is not in the intergral part, so how to eliminate x?
very...
Intergral problem! plz help!
Homework Statement
\oint(x: 0 to 1)\oint(y: \sqrt{}(1 - x^2) to e\overline{}x) xydydx
The region bounded by y = e\overline{}x, y = \sqrt{}(1 - x^2), and x =1
3. The Attempt at a Solution
i got stuck when i came to the part: 1/2 \oint(x: 0 to 1)...