Transcendental functions

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30 Terms

1

d/dx ln(u)

u’/u

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2

d/dx a^u

a^u (lna) u’

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3

d/dx log (b) u

1/(lnb) u’/u

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4

d/dx e^u

e^u u’

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5

∫1/u du

ln |u| + c

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6

∫a^x dx

1/(lna) a^u +c

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7

∫e^u du

e^u + c

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8

d/dx sinu

cosu u’

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9

d/dx cosu

-sinu u’

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10

d/dx cscu

-cscu cotu u’

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11

d/dx secu

secu tanu u’

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12

d/dx tanu

sec^2u u’

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13

d/dx cotu

-csc^2u u’

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14

d/dx arcsinu

u’/√(1-u^2)

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15

d/dx arccosu

-u’/√(1-u^2)

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16

d/dx arcsecu

u’/(|u| √u^2-1)

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17

d/dx arccscu

-u’/(|u| √u^2-1)

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18

d/dx arctanu

u’/(1+u^2)

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19

d/dx arccotu

-u’/(1+u^2)

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20

∫sinu du

-cosu + c

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21

∫cosu du

sinu + c

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22

∫tanu du

-ln |cosu| + c

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23

∫cotu du

ln |sinu| +c

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24

∫sec^2u du

tanu + c

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25

∫csc^2u du

-cotu + c

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26

∫secu tanu du

secu + c

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27

∫cscu cotu du

-cscu + c

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28

∫du/√(a^2-u^2)

arcsin(u/a) + c

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29

∫du/√(u^2-a^2)

1/a arcsec (|u|/a) + c

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30

∫du/(u^2+a^2)

1/a)

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