Integral Forms II Memorize the following integral forms. 1. un du = 1

math 252
Integral Forms II
Memorize the following integral forms.
Z
1.
Z
2.
Z
3.
Z
4.
Z
5.
un du =
1
un+1 + C
n+1
6.
sin(u) du = − cos(u) + C
7.
cos(u) du = sin(u) + C
8.
1
du = tan−1 (u) + C
2
u +1
√
9.
1
du = sin−1 (u) + C
2
1−u
10.
Sum/Difference Formula
Z
f (x) ± g(x)
dx =
Z
f (x) dx ±
Z
g(x) dx
Constant Multiple Rule
Z
k f (x) dx = k
Z
f (x) dx
1
Z
eu du = eu + C
Z
bu du =
Z
1
du = ln |u| + C
u
Z
1
bu + C
(ln b)
k du = k u + C
Z
sec2 (u) du = tan(u) + C