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I'm confused with finding the limits for each when you reverse the order anyone got any tips?

drawing out the region of integration is almost always a good idea

|dw:1352232985691:dw|

well what would the area between y^(1/3) and y=8 look like?

or rather x^3<=y<=8

ohh

it'd be the shaded area under y=8 but above y=x^3?

which we're not looking for right

|dw:1352233420315:dw|you got it :)

so in the area we want we want y bounded above by the function, not the line

it's so hard to see sometimes but got it thanks so much for your help!!

so whenever you want it bounded by the curve you'd take it from 0 to the curve?

welcome, and never underestimate the power of making sure your drawings are correct

or where ever it starts at