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psk981
 3 years ago
integrate f(x,y)= x^2 +y over a triangular region bounded by (0,0), (1,0),(0,1)
psk981
 3 years ago
integrate f(x,y)= x^2 +y over a triangular region bounded by (0,0), (1,0),(0,1)

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TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1draw the region, what is the equation of the line between (1,0) and (0,1) ?

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

psk981
 3 years ago
Best ResponseYou've already chosen the best response.1how would my integrals look

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1the inner integral is bounded by the function x, the outer by the constants

psk981
 3 years ago
Best ResponseYou've already chosen the best response.1after i solve it i get 2/3

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1I get 3/4 can you show your work?

psk981
 3 years ago
Best 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

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1352137394567:dwyou dropped the /2 part...

psk981
 3 years ago
Best ResponseYou've already chosen the best response.1but order doesn't matter if you have constants

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1If 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
 3 years ago
Best ResponseYou've already chosen the best response.1@psk981 I just realized we messed this one up :P

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1352139848664:dw

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1this function ain't x, it's 1xdw:1352139902007:dw

TuringTest
 3 years ago
Best ResponseYou've already chosen the best response.1so that should be the inner bound

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

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