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Deathfish
 3 years ago
How to Reverse order of integration.
Double integral of (x+2y)
Region is : y=1+x^2 to y=2x^2, x=0, x=1, dy dx
edit : Question explicitly states reverse order of integration. I graphed out the region of integration... tried out the obvious x=(y1)^(1/2) to x=(y/2)^(1/2) and y=0 to y=2, dxdy, but i got a complex number from square root of 1 ... from (01)^(1/2) ...
so i tried out various other combinations such as x=0 to x=(y/2)^(1/2) and y=0 to y=1+x^2 ... and worked them out one by one to see if the answer matches the original using an online calculator (save time)... all don't return the same answer. think main problem i have is choosing 4 boundaries when the region graphed has only three surfaces.
Deathfish
 3 years ago
How to Reverse order of integration. Double integral of (x+2y) Region is : y=1+x^2 to y=2x^2, x=0, x=1, dy dx edit : Question explicitly states reverse order of integration. I graphed out the region of integration... tried out the obvious x=(y1)^(1/2) to x=(y/2)^(1/2) and y=0 to y=2, dxdy, but i got a complex number from square root of 1 ... from (01)^(1/2) ... so i tried out various other combinations such as x=0 to x=(y/2)^(1/2) and y=0 to y=1+x^2 ... and worked them out one by one to see if the answer matches the original using an online calculator (save time)... all don't return the same answer. think main problem i have is choosing 4 boundaries when the region graphed has only three surfaces.

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upasnarayan
 3 years ago
Best ResponseYou've already chosen the best response.0to reverse the order of integration, you just switch the limits on the integral to match dx or dy

upasnarayan
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1338673816726:dw

Deathfish
 3 years ago
Best ResponseYou've already chosen the best response.0edited question with more details on the problem im having

Deathfish
 3 years ago
Best ResponseYou've already chosen the best response.0sorry can't read the drawing its a bit messy

upasnarayan
 3 years ago
Best ResponseYou've already chosen the best response.0i can redo the drawing but the general idea for reversing the integration is to reverse the limits and reverse dx and dy... i think you're making it a bit too complicated

upasnarayan
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1338674746475:dw
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