Antidifferentiation & Integration Worksheet 4.1 With Answers - Calculus Maximus Page 2
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4Calculus Maximus
WS 4.1: Antidif & Integration
3. Determine f t when
f
t
2 3
t
1
and
f
1
3
,
f
1
5
.
3
2
3
2
(A)
f t
3
t
2
t
2
t
2
(B)
f t
t
2
t
2
t
4
3
2
3
2
(C)
f t
3
t
t
2
t
3
(D)
f t
t
t
2
t
3
3
2
(E)
f t
t
t
2
t
5
4. Consider the following functions:
2
sin
x
I.
F x
1
2
cos 2
x
II.
F x
2
4
2
cos
x
III.
F x
3
2
Which are antiderivatives of
f x
sin cos ?
x
x
(Hint: take the derivative of each and manipulate)
(A) II only
(B) I only
(C) I & III only
(D) I, II, & III
(E) I & II only
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