Transcendental Function Flashcards
(20 cards)
1
Q
Dx y=lnu
A
1/u du/dx
2
Q
Dx y=e^u
A
e^u du/dx
3
Q
Dx y=a^u
A
a^ulna du/dx
4
Q
Dx y=logau
A
1/ulna du/dx
5
Q
∫1/u du
A
ln|u|+c
6
Q
∫tanudu
A
-ln|cosu|+c
7
Q
∫cotudu
A
ln|sinu|+c
8
Q
∫secudu
A
ln|secu+tanu|+c
9
Q
∫cscudu
A
-ln|cscu+cotu|+c
10
Q
∫e^udu
A
e^u+c
11
Q
∫a^udu
A
1/lna a^u+c
12
Q
Dx arcsinu
A
1/(√1-u^2)du/dx
13
Q
Dx arccosu
A
-1/(√1-u^2)du/dx
14
Q
Dx arctanu
A
1/1+u^2 du/dx
15
Q
Dx arccotu
A
-1/1+u^2 du/dx
16
Q
Dx arcsecu
A
1/|u|(√u^2-1)du/dx
17
Q
Dx arccscu
A
-1/|u|(√u^2-1)du/dx
18
Q
∫du/(√a^2-u^2)
A
arcsin u/a +c
19
Q
∫du/a^2+u^2
A
1/a arctan u/a +c
20
Q
∫du/u(√u^2-a^2)
A
1/a arcsec |u|/|a| +c
