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# Antiderivative

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Department
Mathematics
Course
MAT135H1
Professor
All Professors
Semester
Summer

Description
Antiderivative     Knowledge  Summary:     The  antiderivative  is  the  operation  that  goes  backward  from  the  derivative  of  a  function  to  the   function  itself.  Since  the  derivative  does  not  determine  the  function  completely  (you  can  add  any   constant  to  your  function  and  the  derivative  will  be  the  same),  you  have  to  add  additional   information  to  go  back  to  an  explicit  function  as  antiderivative .    The  more  common  name  for  the   antiderivative  is  the  indefinite  integral.  This  is  the  identical  notion,  merely  a  different  na me  for  it.     The  definition  is:   If  F  is  an  antiderivative  of  f  on  an  interval  I,  then  the  most  general  antiderivative  of  f  on  I  is  F(x)  +  C,   where  C  is  an  arbitrary  constant.     Table  of  integration  formulas  that  are  useful:   8. 1. 9. 2. 10.   3. 11. 4. 12. 5. 13. 14. 6. 15. 7. 16. 22. 17. 23. 18. 24. 19. 25. 20. 21. 26.         Past  Exam  Questions:           2010,  #11)                               2011,  #7)
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