Question

How do you find the area between `y=x^3` and `y=6-x`?

Answer 1

There is no region bounded by just those two curves. So there is no area. (Or no finite area, if you prefer.)

Explanation:

Here is the graph:

graph{(y-x^3)(y-6+x)=0 [-15.22, 16.82, -4.36, 11.66]}