anonymous
  • anonymous
integrate f(x,y)= x^2 +y over a triangular region bounded by (0,0), (1,0),(0,1)
Mathematics
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anonymous
  • anonymous
integrate f(x,y)= x^2 +y over a triangular region bounded by (0,0), (1,0),(0,1)
Mathematics
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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TuringTest
  • TuringTest
draw the region, what is the equation of the line between (1,0) and (0,1) ?
anonymous
  • anonymous
|dw:1352136497588:dw|
TuringTest
  • TuringTest
yes

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TuringTest
  • TuringTest
only reversed, gotta have the constant last or you won't get a constant as an answer!
anonymous
  • anonymous
how would my integrals look
TuringTest
  • TuringTest
the inner integral is bounded by the function -x, the outer by the constants
anonymous
  • anonymous
after i solve it i get 2/3
TuringTest
  • TuringTest
I get 3/4 can you show your work?
anonymous
  • anonymous
\[\int\limits_{0}^{1} \int\limits_{0}^{-x} x^{2}+y dydx \] |dw:1352137141341:dw| |dw:1352137253709:dw|
TuringTest
  • TuringTest
|dw:1352137394567:dw|you dropped the /2 part...
anonymous
  • anonymous
ok sweet i got it
TuringTest
  • TuringTest
congrads!
anonymous
  • anonymous
but order doesn't matter if you have constants
TuringTest
  • TuringTest
If both bounds are constants then often not, but sometimes the integral is only possible in a certain order. In this case we have the bounds as one constant, and one function. You could have done this one in the other order, but you would have to change the inner function to terms of yu.
TuringTest
  • TuringTest
terms of y*
TuringTest
  • TuringTest
@psk981 I just realized we messed this one up :P
TuringTest
  • TuringTest
|dw:1352139848664:dw|
anonymous
  • anonymous
how so
TuringTest
  • TuringTest
this function ain't -x, it's 1-x|dw:1352139902007:dw|
TuringTest
  • TuringTest
so that should be the inner bound
anonymous
  • anonymous
so goes from 0 to 1-x
TuringTest
  • TuringTest
yes
TuringTest
  • TuringTest
and|dw:1352140168346:dw|so I totally space out on the last one, sorry
TuringTest
  • TuringTest
\[\int_0^1\int_0^{1-x}x^2+ydydx=\int_0^1\left.x^2y+\frac{y^2}2\right|_0^{1-x}dx\]

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