1. Math 180 4.8 – Antiderivatives 1

2. Sometimes we know the derivative of a function, and want to find the original function. (ex: finding displacement from velocity.) 2

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4. 4 antiderivative

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10. Let’s fill out the following table of antiderivatives: 10 FunctionGeneral antiderivative

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12. 12

13. 13 indefinite integral

14. 14 indefinite integral integral sign

15. 15 indefinite integral integral sign integrand

16. 16 indefinite integral integral sign integrand variable of integration

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22. 22 differential equation

23. 23 differential equation

24. 24 differential equation

25. 25 differential equation general solution

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27. 27 initial condition

28. 28 initial condition

29. 29 initial condition particular solution

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31. 31 initial value problem

32. 32 initial value problem