The Fundamental Theorem Of Calculus Worksheet
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9Calculus Maximus
WS 4.3: The FTOC
Name_________________________________________ Date________________________ Period______
Worksheet 4.3—The Fundamental Theorem of Calculus
Show all work. No calculator unless otherwise stated.
Multiple Choice
1. (Calculator Permitted) What is the average value of
f x
cos
x
on the interval
1,5 ?
(A) 0.990
(B) 0.450
(C) 0.128
(D) 0.412
(E) 0.998
b
f x dx
2. If the average value of the function f on the interval
, a b is 10, then
a
f a
f b
f a
f b
10
b a
(A)
(B)
(C) 10
(D)
(E)
b
10
a
b a
10
10
20
, then
3. (Calculator Permitted) Let
f x
ln 2 sin
x
. If
f
3
4
f
5
(A) 0.040
(B) 0.272
(C) 0.961
(D) 4.555
(E) 6.667
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