calc 2 formula

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20 Terms

1
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∫ uⁿ du (n ≠ -1)

(uⁿ⁺¹)/(n+1) + C

2
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∫ (1/u) du

ln|u| + C

3
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∫ sin(u) du

-cos(u) + C

4
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∫ cos(u) du

sin(u) + C

5
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∫ sec(u)tan(u) du

sec(u) + C

6
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∫ sec²(u) du

tan(u) + C

7
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∫ tan(u) du

-ln|cos(u)| + C

8
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∫ eᵘ du

eᵘ + C

9
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∫ (1 / √(a² - u²)) du

sin⁻¹(u/a) + C

10
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∫ (1 / (a² + u²)) du

(1/a) tan⁻¹(u/a) + C

11
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sin²(x) + cos²(x)

1

12
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1 + tan²(x)

sec²(x)

13
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1 + cot²(x)

csc²(x)

14
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sin²(x) in terms of cos(2x)

(1 - cos(2x)) / 2

15
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cos²(x) in terms of cos(2x)

(1 + cos(2x)) / 2

16
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∫ sec(u) du

ln|sec(u) + tan(u)| + C

17
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∫ csc(u) du

-ln|csc(u) + cot(u)| + C

18
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∫ cot(u) du

ln|sin(u)| + C

19
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∫ csc²(u) du

-cot(u) + C

20
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∫ csc(u)cot(u) du

-csc(u) + C

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