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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. 