# table of integrals

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 Forms1. , where n ≠ –12. 3. 4. , where a > 0 and a ≠ 15. 6. 7. 8. 9. 10. 11. , where F(u) is an antiderivative of f(u) Other Basic Trig and Inverse Trig Forms12. 13. 14. 15. 16. 17. for a > 018. 19. for a > 020. for u > 121. for u > a > 0

 Basic Rational Forms22. for a > 023. for a > 0Trig Forms24. 25. 26. Inverse Trig Forms27. 28. 29. 30. 31. for u > 132. for u > 1 Forms Involving33. for a > 0 Forms Involving34. Forms Involving35. for u > a > 0Forms Involving  au + b36. 37. Exponential Forms38. 39. 40. 41. 42. Logarithmic Forms43. Definite Integrals44.