Double Integral problem (E^x^3)

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SUMMARY

The forum discussion centers on solving a double integral problem involving the function E^x^3. The user initially attempted to switch the order of integration from dxdy to dydx but encountered difficulties in obtaining consistent results. After clarification, it was established that the correct integration limits are 0 < y < x^2 and 0 < x < 1, which resolved the confusion regarding the region of integration.

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Lucas Mayr
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Relevant equations

cd98f00b204e9800998ecf8427eo4ltj0je2q&f=HBQTQYZYGY4TQM3BGZRTSNJRHEYDCM3CMM2GMNRYGMYDIN3FGFQQaaaa.gif


The Attempt at a Solution


i've tried changing the integration values from dxdy to dydx, but without success.
i can't seem to get the same result after i change the ranges
tried to change to 0<x<1 , x^2 < y <1
some light would be appreciated
 
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Lucas Mayr said:
Relevant equations

cd98f00b204e9800998ecf8427eo4ltj0je2q&f=HBQTQYZYGY4TQM3BGZRTSNJRHEYDCM3CMM2GMNRYGMYDIN3FGFQQaaaa.gif


The Attempt at a Solution


i've tried changing the integration values from dxdy to dydx, but without success.
i can't seem to get the same result after i change the ranges
tried to change to 0<x<1 , x^2 < y <1
some light would be appreciated

Did you draw a sketch of the region? I think 0 < y < x^2.
 
i just did a re-sketch of the region and i was looking at it the wrong way, the range is 0<y<x^2 like you said.
such a silly mistake >.<
thanks for the help
 

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