Antidifferentiation & Integration Worksheet 4.1 With Answers - Calculus Maximus Page 3
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4Calculus Maximus
WS 4.1: Antidif & Integration
5. A particle moves along the x-axis so that its acceleration at time t is
a t
8 8
t in units of feet and
seconds. If the velocity of the particle at
t
0
is 12 ft/sec, how many seconds will it take for the
particle to reach its furthest point to the right?
(A) 6 seconds
(B) 5 seconds
(C) 3 seconds
(D) 7 seconds
(E) 4 seconds
Free Response
6. Evaluate the following:
3
2
x
2
x
3
3
2
(a)
(b)
dx
(c)
2
t
1
dt
x
2
x
1
dx
4
x
cos
x
2
2
x
(d)
sec
csc cot
d
(e)
dx
(f)
cos
x
3
dx
2
1 cos
x
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