The Fundamental Theorem Of Calculus Worksheet Page 2

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Calculus Maximus
WS 4.3: The FTOC
x h
1
 
4. What is
lim
f t dt
?
h
h
0
x
 
 
(A) 0
(B) 1
(C)
f x
(D)
f x
(E) nonexistent
x
 
 ?
3
5. What is the linearization of
f x
cos
tdt
at x
y  
 
 
 
(A)
1
(B) y
x
(C) y
(D) y
x
(E) y
x
4
6. (Calculator Permitted) The area of the region enclosed between the graph of
y
1
x
and the x-axis
is
(A) 0.886
(B) 1.253
(C) 1.414
(D) 1.571
(E) 1.748
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