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Last updated 8:05 PM on 9/4/26
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14 Terms

1
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∫ k dx

kx + c

2
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∫ x^n dx (where n ≠ -1)

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

3
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∫ x^-1 dx = ∫ (1/x) dx

ln|x| + c

4
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∫ e^(kx) dx

(1/k)e^(kx) + c

5
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∫ cos(kx) dx

(1/k)sin(kx) + c

6
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∫ sin(kx) dx

-(1/k)cos(kx) + c

7
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∫ sec²(kx) dx

(1/k)tan(kx) + c

8
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∫ sec(kx)tan(kx) dx

(1/k)sec(kx) + c

9
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∫ 1/(x² + 1) dx

tan⁻¹(x) + c (or arctan(x) + c)

10
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∫ csc²(kx) dx

-(1/k)cot(kx) + c

11
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∫ csc(kx)cot(kx) dx

-(1/k)csc(kx) + c

12
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∫ 1/√(1 - x²) dx

sin⁻¹(x) + c (or arcsin(x) + c)

13
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∫ 1/(|x|√(x² - 1)) dx

sec⁻¹|x| + c (or arcsec|x| + c)

14
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