Hi, so I have this problem:

To find the area of the region bounded by graphs of y=x^{3}, y=0, x=1, and x=3 by limit definition

But I was a bit confused on this because I didn't really know what the intervals were.

Like I graphed it out, and it would look like this:

I will describe it: A horizontal line on y=0, then 2 veritcal lines on x=1 and x=3, then the x^{3}curves from down to up, hits the 0, but the shape looks pretty weird.

Can someone explain to me what area/intervals are supposed to be?

From my intepretation when I saw the graph of all those equations, it looked like it would be [1, 3] since 3 looks like the max, and 1 is like the min, and there's where they all come together

They make somewhat like a rectangle at the bottom, then it curves up, so like a curvy trapezoid? Maybe?