calculus: integral Flashcards
1
Q
∫kf(u)du
A
k∫f(u)du
2
Q
∫du
A
u+c
3
Q
∫kdu
A
ku + c
4
Q
∫[f(u) +- g(u)]du
A
∫f(u)du +- ∫g(u)du
5
Q
∫u^ndu
A
u(n+1)/(n+1) + C
6
Q
∫du/n
A
ln|u| + C
7
Q
∫e^udu
A
e^u + c
8
Q
∫sinudu
A
-cosu + c
9
Q
∫cosudu
A
sinu + c
10
Q
∫tanudu
A
-ln|cosu| + C
11
Q
∫cscudu
A
-ln|cscu + cotu| + c
12
Q
∫secudu
A
ln|secu + tanu| + C
13
Q
∫cotudu
A
ln|sinu| + C
14
Q
∫sec^2udu
A
tanu + C
15
Q
∫csc^2udu
A
-cotu + C
16
Q
∫secutanudu
A
secu + c
17
Q
∫cscucotudu
A
-cscu + c
18
Q
∫du/square root(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*square root(a^2-u^2)
A
1/a(arcsec(|u|/a) + c
