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
|