Transcendental functions
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Last updated 2:25 PM on 3/31/23
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30 Terms
1
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d/dx ln(u)
u’/u
2
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d/dx a^u
a^u (lna) u’
3
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d/dx log (b) u
1/(lnb) u’/u
4
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d/dx e^u
e^u u’
5
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∫1/u du
ln |u| + c
6
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∫a^x dx
1/(lna) a^u +c
7
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∫e^u du
e^u + c
8
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d/dx sinu
cosu u’
9
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d/dx cosu
\-sinu u’
10
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d/dx cscu
\-cscu cotu u’
11
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d/dx secu
secu tanu u’
12
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d/dx tanu
sec^2u u’
13
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d/dx cotu
\-csc^2u u’
14
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d/dx arcsinu
u’/√(1-u^2)
15
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d/dx arccosu
\-u’/√(1-u^2)
16
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d/dx arcsecu
u’/(|u| √u^2-1)
17
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d/dx arccscu
\-u’/(|u| √u^2-1)
18
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d/dx arctanu
u’/(1+u^2)
19
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d/dx arccotu
\-u’/(1+u^2)
20
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∫sinu du
\-cosu + c
21
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∫cosu du
sinu + c
22
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∫tanu du
\-ln |cosu| + c
23
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∫cotu du
ln |sinu| +c
24
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∫sec^2u du
tanu + c
25
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∫csc^2u du
\-cotu + c
26
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∫secu tanu du
secu + c
27
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∫cscu cotu du
\-cscu + c
28
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∫du/√(a^2-u^2)
arcsin(u/a) + c
29
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∫du/√(u^2-a^2)
1/a arcsec (|u|/a) + c
30
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∫du/(u^2+a^2)
1/a)
