the same thing is happening here, since you are not going in the initial order and you have changed it the limit also will change it is bounded differently with respect to a different axis.Īgain would like to apologise, Fubinis theorem had little to do with your doubt, your doubt is very valid and this problem would have confused many other students, I did not understand the doubt you had and advised you incorrectly. What happened is, is that the order of integration changed, when you change the order of integration the limits obviously change, because if you integrate with respect to the x-axis, the region bounded by the x^2 curve and y=1 the limit is 0 to 1 obviously, but if your doing it with respect to the y-axis the limit changes to 1 to 0. Now coming to your point, you were right all along and us saying Fubinis theorem over and over again might have confused you more, sorry.
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