Unit 6 Integration Formulas

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Last updated 8:22 PM on 9/1/26
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19 Terms

1
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∫kf(u) du

k∫f(u)du

2
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∫[f(u) +/- g(u)] du

∫f(u)du +/- ∫g(u)du

3
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∫du

u + c

4
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∫u^n du

u^(n+1)/n+1 +c

5
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∫du/u

∫1/u du = ln|u| + c

6
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∫a^u du

(1/lna)a^u + c

7
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∫e^u du

e^u + c

8
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∫sin(u) du

-cosu + c

9
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∫cos(u) du

sin(u) + c

10
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∫sec^2(u) du

tanu + c

11
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∫csc^2(u) du

-cotu + c

12
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∫sec(u)tan(u)du

secu + c

13
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∫csc(u)cot(u)du

-cscu + c

14
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∫du/(1-u^2)^(1\2)

arcsin(u/a) + C

15
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∫du/(1+u^2)

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

16
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∫tan(u) du

-ln|cosu| + c

17
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∫cot(u) du

ln|sinu| + c

18
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if the function is increasing..

LRAM is underestimate, RRAM is overestimate

19
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if the function is decreasing..

LRAM is overestimate, RRAM is underestimate.