Inverse Trig Function Derivatives and Integrals Flashcards
1
Q
(d/dx) arcsin (u)
A
u’ / √(1-u^2)
2
Q
(d/dx) arccos (u)
A
-u’ / √(1-u^2)
3
Q
(d/dx) arctan (u)
A
u’ / (1+u^2)
4
Q
(d/dx) arccsc (u)
A
-u’ / |u| √(1-u^2)
5
Q
(d/dx) arcsec (u)
A
u’ / |u| √(1-u^2)
6
Q
(d/dx) arccot (u)
A
-u’ / (1+u^2)
7
Q
$ du / (a^2 + u^2)
$ = integral
A
(1 / a) arctan (u / a) + c
8
Q
$ du / √(a^2 - u^2)
$ = integral
A
arcsin (u / a) + c
9
Q
$ du / u√(u^2 - a^2)
$ = integral
A
(1 / a) arcsec (|u| / a) + c
