Transcendental Functions
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Last updated 2:31 PM on 12/12/22
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28 Terms
1
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d(ln(u))
(1/u)du
2
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∫du/u
ln|u|+C
3
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∫(ag(u)+bh(u))du
a∫g(u)du+b∫h(u)du
4
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∫(u^n)du
[1/(n+1)]u^(n+1)+C
5
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∫du/u
ln|u|+C
6
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∫sin(u)du
-cos(u)+C
7
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∫cos(u)du
sin(u)+C
8
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∫tan(u)du
-ln|cos(u)|+C
9
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∫cot(u)du
ln|sin(u)|+C
10
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∫sec(u)du
ln|sec(u)+tan(u)|+C
11
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∫csc(u)du
-ln|csc(u)+cot(u)|+C
12
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∫sec^2(u)du
tan(u)+C
13
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∫csc^2(u)du
-cot(u)+C
14
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∫sec(u)tan(u)du
sec(u)+C
15
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∫csc(u)cot(u)du
-csc(u)+C
16
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d(e^u)
(e^u)du
17
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∫(e^u)du
e^u+C
18
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d(a^u)
(a^u)(lna)du
19
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∫(a^u)du
(1/lna)(a^u)+C
20
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d(sin^-1(u))
du/√(1-u^2)
21
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d(cos^-1(u))
-du/√(1-u^2)
22
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d(tan^-1(u))
du/(1+u^2)
23
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d(cot^-1(u))
-du/(1+u^2)
24
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d(sec^-1(u))
du/[|u|√(u^2-1)]
25
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d(csc^-1(u))
-du/[|u|√(u^2-1)]
26
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∫du/√(1-u^2)
sin^-1(u)+C
27
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∫du/(1+u^2)
tan^-1(u)+C
28
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∫du/[|u|√(u^2-1)]
sec^-1(u)+C
