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AP Calculus AB
Basic Integration Formulas
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Calculus
Integration
AP Calculus AB
11th
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22 Terms
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1
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∫k f(x) 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, n≠-1
5
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∫ du/u
ln |u| + C
6
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∫ e^u du
e^u + C
7
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∫ sinu du
\-cos u + C
8
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∫ cosu du
sinu + C
9
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∫ tanu du
\-ln |cosu| + C
10
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∫ cotu du
ln |sin u| + C
11
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∫ secu du
ln |secu + tanu| + C
12
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∫ cscu du
\-ln |cscu + cotu| + C
13
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∫ sec^2u du
tanu + C
14
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∫ csc^2u du
\-cotu + C
15
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∫ secu • tanu du
secu + C
16
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∫ cscu • cotu du
\-cscu + C
17
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∫ du / √a^2 - u^2
arcsin (u/a) + C
18
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∫ du / a^2 + u^2
(1/a) arctan (u/a) + C
19
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∫ du / u √u^2 - a^2
(1/a) arcsec (|u|/a) + C
20
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∫ a^x dx
a^x / lna + C
21
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∫ lnx dx
xlnx - x + C
22
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∫ udu
uv - ∫ vdu