Question

When you're taking an integration by cartesian, does it matter what order you solve in?

Answer 1

Question :- When you're taking an integration by cartesian, does it matter what order you solve in?

Solution: - there are two posibilities here

when the limits are constant and assuming that integrand  is integrable then it does not matter what order we solve the double or triple integral .

in second case :- when the limit are in variable form mean x = 1-y^2 , y = 2z etc . then the order of integration is matter.

we integrate with respect to that variable which will be independent for the next one . if x =1-y^2 , x=y , y =1 , y=4 th=1 y=4 then we will choose the order dy dx not dx dy .