# Area approximation and (riemann?) sums

## Homework Statement

I am a first-year physics student learning calculus. my question is about the approximation of the area of a region bounded by y = 0.

## Homework Equations

Use rectangles (four of them) to approximate the area of the region bounded by y = 5/x (already did this one), and y = 0. The height of the tallest rectangle is 5 units, on the y-axis. The numbers(width of the rectangles) on the x-axis are respectively: 1, 2, 3, 4 units.

## The Attempt at a Solution

The first question was to find the area bounded by y = 5/x which i did: 5/1 + 5/2 +5/3 + 5/4 = approximately 10.4. I know this is correct.
Then the area bounded by y = 0 would just be zero i assume? is there a certain way to write this one or is it just zero? i cannot see what else it could be.

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Dick
Homework Helper
I think they just mean to say find the area bounded BETWEEN the two curves y=5/x and y=0. It's just a single problem, which you already did. Not two separate problems.

ohhh. good to know. silly me. thankyou

Mark44
Mentor
science rules,
You might find it interesting that your estimate of 10.4 for the area bounded by the graph of y = 5/x and the x-axis (the line y = 0) is a very low estimate. In fact, the area of this region is infinite.