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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.
 one year ago
 one year 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.
 one year ago
 one year ago

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upasnarayanBest ResponseYou've already chosen the best response.0
to reverse the order of integration, you just switch the limits on the integral to match dx or dy
 one year ago

upasnarayanBest ResponseYou've already chosen the best response.0
dw:1338673816726:dw
 one year ago

DeathfishBest ResponseYou've already chosen the best response.0
edited question with more details on the problem im having
 one year ago

DeathfishBest ResponseYou've already chosen the best response.0
sorry can't read the drawing its a bit messy
 one year ago

upasnarayanBest ResponseYou've already chosen the best response.0
i 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
 one year ago

upasnarayanBest ResponseYou've already chosen the best response.0
dw:1338674746475:dw
 one year ago
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