Use a left-hand sum with the sub-intervals indicated by the data in the table to estimate the area between the graph of f and the x-axis on the interval [-10,1].
The table gives us the points on the function. From these points, we can tell what the sub-intervals need to be.
We add the areas of the rectangles:
6(3) + 10(1) + 7(4) + 2(3) = 62