Use the rectangles to approximate the area of the region. (Round
your answer to three decimal places.)
The x y-coordinate
plane is given. There is 1 curve, a shaded region, and 4 rectangles
on the graph.
The curve enters the window in the first quadrant, goes down
and right becoming less steep, passes through the point (1,
5), passes through the point (5, 1), and exits the
window almost horizontally above the x-axis.
The region below the curve, above
the x-axis, and between the values of 1 and 5 on
the x-axis is shaded.
The segments of
the x-axis from x = 1 to
2, 2 to 3, 3 to 4, and 4 to 5 serve as the bases of the 4
rectangles.
The curve passes through the midpoint of the top of each of the
4 rectangles.
f(x) =
5
x
[1, 5]
Give the exact area obtained using a definite integral.