Integral Table
For the following, the letters a, b, n, and C represent constants.
Note: Most of the following integral entries are written for indefinite integrals, but they also apply to definite integrals.
Basic Forms
1. , where n ≠ –1
2.
3.
4. , where a > 0 and a ≠ 1
5.
6.
7.
8.
9.
10.
11. , where F(u) is an antiderivative of f(u)
Other Basic Trig and Inverse Trig Forms
12.
13.
14.
15.
16.
17. for a > 0
18.
19. for a > 0
20. for u > 1
21. for u > a > 0
Basic Rational Forms
22. for a > 0
23. for a > 0
Trig Forms
24.
25.
26.
Inverse Trig Forms
27.
28.
29.
30.
31. for u > 1
32. for u > 1
Forms Involving
33. for a > 0
Forms Involving
34.
Forms Involving
35. for u > a > 0
Forms Involving au + b
36.
37.
Exponential Forms
38.
39.
40.
41.
42.
Logarithmic Forms
43.
Definite Integrals
44.
See also
Integration methods, integral rules