Given the iterated integret: ${\displaystyle \underset{\phantom{}}{\overset{5}{}}}{\displaystyle \underset{\phantom{}}{\overset{2-\sqrt[\phantom{2}]{x-1}}{}}}nx$ ndudx

If we change the order of integration then the new iterated integrals:

$o.{\displaystyle \underset{1}{\overset{s}{}}}{\displaystyle \underset{0}{\overset{2-\sqrt[\phantom{2}]{-1}}{}}}f(x,y)dxdy$

O ${\displaystyle \underset{0}{\overset{x}{}}}{\displaystyle \underset{1}{\overset{y^2-48}{}}}f(x,y)dxdy$

O ${\displaystyle \underset{0}{\overset{x}{}}}{\displaystyle \underset{y-seny}{\overset{1}{}}}f(x,y)dxdy$

$O{\displaystyle \underset{1}{\overset{s}{}}}{\displaystyle \underset{2-\sqrt[\phantom{2}]{-1}}{\overset{p}{}}}f(x,y)dxdy$