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anonymous
 5 years ago
what is the best way to solve a double integral question without drawing the figure we need to integrate over?
anonymous
 5 years ago
what is the best way to solve a double integral question without drawing the figure we need to integrate over?

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0havent tried doubles yet....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0lol.. but you said you were guessing..

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0whats the function or functions to double integrate :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yeah giv us the function..

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0and make it a hard one lol

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0something with an exponent of 3 in it ;)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0let it be a double integral of 4xyy^3 over the area bounded by the curves y=x^2 n y=x^(1/2)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if we do the x we get......umm........how do we do doubles anyways?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0is this confined to a single plane right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i see the football shape made by the bounds of x^2 and sqrt(x)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the region bounded by those curves looks like a rugby ball..

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0dunno what to do with the 4xyy^3 function tho..... how does that come into play?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if we int with respect to y it goes; 2xy^2y^4/4 right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0and with respect to x its: 4yx^3/3 +xy^3 ??

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the major problem n which also the 1st step is to find the limits for the double integral for individual x and y.. once u r able to get that.. then its more or less like normal integration..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how hard is it to find limits solve sqrt(x) = x^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x^4 = x x(x^3 1) =0 x=0, x=1 for real solutions

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0when x=0 , y= 0 when x=1, y= 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so its just \[\int\limits_{0}^{1}\int\limits_{0}^{1} f(x,y) dx dy \]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0doesnt matter which order u integrate, in the above I do x first

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so f(x,y) = 4xyy^3 int f dx = 2x^2 y xy^3 [ from x=1..x=0] = ( [2y y^3 ]  [0] ) = 2y y^3 now we integrate that with respect to y , from y=0 to y=1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so we get [ y^2 y^4 / 4 ] from y=1..y=0 = 1 (1/4) = 3/4 //final answer
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