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Last updated 6:45 PM on 2/4/25
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17 Terms
1
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∫ k dx
kx + C
2
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∫ f(x) + g(x) dx
∫ f(x) dx + ∫ g(x) dx
3
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∫ c f(x) dx
c ∫ f(x) dx
4
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∫ xⁿ dx
(xⁿ⁺¹) / (n+1) + C, n ≠ -1
5
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∫ 1/x dx
ln|x| + C
6
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∫ e^x dx
e^x + C
7
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∫ a^x dx
(a^x) / (ln a) + C
8
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∫ sin(x) dx
-cos(x) + C
9
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∫ cos(x) dx
sin(x) + C
10
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∫ sec²(x) dx
tan(x) + C
11
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∫ csc²(x) dx
-cot(x) + C
12
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∫ sec(x)tan(x) dx
sec(x) + C
13
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∫ csc(x)cot(x) dx
-csc(x) + C
14
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∫ 1/√(1-x²) dx
arcsin(x) + C
15
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∫ 1/(1+x²) dx
arctan(x) + C
16
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∫ 1/(x√(x²-1)) dx
arcsec(x) + C
17
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Fundamental Theorem of Calculus (Part I)
d/dx ∫ f(t) dt from a to x | f(x)
