Formulas Flashcards
1
Q
(d/dx)(arctanx)=
A
(du/dx)/(u^2+1)
2
Q
(d/dx)(arcsinx)=
A
(du/dx)/(1-u^2)^1/2
3
Q
(d/dx)(arcsecx)=
A
(du/dx)/(lul(u^2-1)^1/2)
4
Q
integral(du)/(a^2-u^2)^1/2=
A
arcsin(u/a)+C
5
Q
integral(du)/(a^2+u^2)=
A
(1/a)tan(u/a)+C
6
Q
integral(du)/(u(u^2-a^2)^1/2)=
A
(1/a)arcsec(lul/a)+C
7
Q
(d/dx)e^u=
A
e^u(du/dx)
8
Q
integral(e^u)du=
A
e^u+C
9
Q
(d/dx)a^u=
A
lna(a^u)(du/dx)
10
Q
integral(a^u)du=
A
1/(lna)+C
11
Q
(d/dx)log,(a)u=
A
(1/(ulna))du/dx
12
Q
(d/dx)lnu=
A
1/u(du/dx)
13
Q
integral(cotx)=
A
lnlsinxl+C
14
Q
integral(tanx)=
A
-lnlcosxl+C
15
Q
integral(cscx)=
A
-lnlcscx+cotxl+C