How do you express the area(express both respectively in integral) bounded by the following curves (i.e. the shape with one side corresponding to one curve): $xy=1, \quad xy^2=3,\quad x^2-y^2=26,\quad x^2-y^3=11$
By using changing of variable formula to express those area into a integral with 4 different variable, that is, mapping the curves into another plane(when you parametrize one curve you with get one number, you get 4 different number in total with four curves)
I know you may think this question may be the duplicate of that question, but that question only ask for using only one variable integral:
How do we calculate the area of a region bounded by four different curves?
i know the change of variable formula only work up to 3-dimentional, so does changing of the variable formula help to solving my problem?