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integrate f(x,y)= x^2 +y over a triangular region bounded by (0,0), (1,0),(0,1)
 one year ago
 one year ago
integrate f(x,y)= x^2 +y over a triangular region bounded by (0,0), (1,0),(0,1)
 one year ago
 one year ago

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TuringTestBest ResponseYou've already chosen the best response.1
draw the region, what is the equation of the line between (1,0) and (0,1) ?
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
only reversed, gotta have the constant last or you won't get a constant as an answer!
 one year ago

psk981Best ResponseYou've already chosen the best response.1
how would my integrals look
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
the inner integral is bounded by the function x, the outer by the constants
 one year ago

psk981Best ResponseYou've already chosen the best response.1
after i solve it i get 2/3
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
I get 3/4 can you show your work?
 one year ago

psk981Best ResponseYou've already chosen the best response.1
\[\int\limits_{0}^{1} \int\limits_{0}^{x} x^{2}+y dydx \] dw:1352137141341:dw dw:1352137253709:dw
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
dw:1352137394567:dwyou dropped the /2 part...
 one year ago

psk981Best ResponseYou've already chosen the best response.1
but order doesn't matter if you have constants
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
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.
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
@psk981 I just realized we messed this one up :P
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
dw:1352139848664:dw
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
this function ain't x, it's 1xdw:1352139902007:dw
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
so that should be the inner bound
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
anddw:1352140168346:dwso I totally space out on the last one, sorry
 one year ago

TuringTestBest ResponseYou've already chosen the best response.1
\[\int_0^1\int_0^{1x}x^2+ydydx=\int_0^1\left.x^2y+\frac{y^2}2\right_0^{1x}dx\]
 one year ago
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