Integrals

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40 Terms

1
New cards

∫u^n du

2
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(uⁿ⁺¹)/(n+1) + C

3
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∫1/u du

4
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ln|u| + C

5
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∫e^u du

6
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e^u + C

7
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∫a^u du

8
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(a^u)/(ln a) + C

9
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∫sinu du

10
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-cosu + C

11
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∫cosu du

12
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sinu + C

13
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∫sec^2(u) du

14
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tanu + C

15
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∫csc^2(u) du

16
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-cotu + C

17
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∫secutanu du

18
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secu + C

19
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∫cscucotu du

20
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-cscu + c

21
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∫tanu du

22
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-ln|cosu| + C

23
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∫cotu du

24
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ln|sinu| + C

25
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∫secu du

26
New cards

ln|secu+tanu| + C

27
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∫cscu du

28
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ln|cscu - cotu| + C

29
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∫tan^2(u) du

30
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tanu - u + C

31
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∫cot^2(u) du

32
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-cotu

33
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∫lnu du

34
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ulnu - u + C

35
New cards

∫ulnu du

36
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1/2u^2lnu - 1/4u^2 + C

37
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∫1/(a^2+u^2) du

38
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1/a*arctan(u/a) + C

39
New cards

∫1/(a^2-u^2) du

40
New cards

1/(2a)ln|(a+u)/(a-u)| + C