Approximate the area under the graph of

Question

Approximate the area under the graph of the function f(x) = e 2% - 0.5 and above the x-axis between the interval [0, 2]. Use four rectangles whose height is the left upper corner.
The approximate area is square units.
(Do not round until the final answer. Then, round the nearest hundredth as needed )

Kunduz · Accepted Answer

Solution f(x) = -0.5
2x
4x = 2-0
4
३-० -
2
4
--
2
x
0
/
1
3/2
f(x) 10.5
2
e-0-5 18-00589-05
-
3 3
: Area
f(o). ax + f () AX +
f(4).ax + f(!)sx + Fax
F1.ax
1 0.5 + (0-0.5) + (é-0.5) + (0-0.5
+ ) )
(e?-0.5)]
[
- E 14.5964 375
1
2
A
[ered]
%3D
)
2
IN
Area = 14.60
Square units .