The Fundamental Theorem Of Calculus Worksheet Page 5
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9Calculus Maximus
WS 4.3: The FTOC
dy
y
x , construct and evaluate an integral
3
11. (Calculator Permitted) If
sin
x
and
4
when
5
dx
equation to find
y
(a)
y
7
(b)
y
0
(c)
2
d)
y x
12. Evaluate without a calculator, then verify using fnINT(
1
1
1
5 / 6
4
1
1
u
x
2
2
(a)
3
dx
(b)
dx
(c)
x
x dx
(d)
csc
d
(e)
du
2
u
x
2
2
0
/ 6
0
2
1
2
4
x
, 0
x
1
4
5
(f)
x
2
x dx
(g)
dt
(h)
f x dx
where
f x
t
2
5
1
x
, 1
x
2
0
0
0
Page 5 of 9
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