1. Find the area of the region bounded by the graph of the function f(x) = x^{4} − 2x^{2} + 8, the xaxis, and the lines x = a and x = b, where a < b and a and b are the xcoordinates of the relative maximum point and a relative minimum point of f, respectively.
2.Evaluate the definite integral.
26 


0 
3. Find the area of the region under the graph of f on [a, b].
f(x) = e^{−x/2}; [−1, 14]
4. Find the area (in square units) of the region under the graph of the function f on the interval [7, 8]. f(x) = 2e^{x} − x
5.
Find the area of the region under the graph of the function f on the interval [1, 25].
f(x) =
8  

6.Find the area of the region under the graph of the function f on the interval [1, 5].f(x) = 4x^{3}
^{7.} Find the area of the region under the graph of the function f on the interval [5, 6].
f(x) =
2 
x^{2} 
8.
Find the area of the region under the graph of the function f on the interval [0, 6].
f(x) = 6x − x^{2}
^{9.}
Find the area of the region under the graph of the function f on the interval [5, 7].
f(x) = 10x − 2
10.
Find the area (in square units) of the region under the graph of the function f on the interval
[1, 8],
using the Fundamental Theorem of Calculus. Then verify your result using geometry.
f(x) = −
1 
8 
x + 1
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