Calculus 2 Cheat Sheet Page 8
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16B Veitch
Calculus 2 Study Guide
1
1
x
1
xxi.
sec x dx = ln sec x + tan x + C
xxiv.
dx =
cot
+ C
2
2
a
+ x
a
a
1
x
1
1
1
xxii.
dx = sin
+ C
xxv.
dx = sec
(x) + C
a
2
2
2
a
x
x x
1
1
1
1
x
1
1
xxvi.
dx = csc
(x) + C
xxiii.
dx =
tan
+ C
2
2
2
a
+ x
a
a
x x
1
(d) Every integral must be written into the proper form in order to use the formulas. For example,
1/2
x dx =
x
dx
3
3
4
dx =
x
dx
4
5x
5
8
9/5
dx =
8x
dx
9
x
(e) Finding Area under or between Curves
6. Solids of Revolution
(a) Disk Method - in terms of x
(c) Disk Method - in terms of y
b
2
V =
πR(x)
dx
d
2
V =
πR(y)
dy
a
(b) Washer Method - in terms of x
c
(d) Washer Method - in terms of y
d
2
2
V =
πR(y)
πr(y)
dy
c
b
2
2
V =
πR(x)
πr(x)
dx
a
8
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