AP Calc BC Page 1
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Last updated 4:24 PM on 3/31/25
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32 Terms
1
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du
(du/dx)dx
2
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d(au)
adu
3
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d(u+v)
du + dv
4
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d(u^n)
nu^(n-1) du
5
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d(ln u)
du/u
6
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d(e^u)
e^u du
7
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d(a^u)
(ln a) a^u du
8
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d(sinu)
cosu du
9
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d(cosu)
-sinu du
10
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d(tanu)
sec^2 (u) du
11
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d(cotu)
-csc^2(u) du
12
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d(secu)
sec(u)tan(u)
13
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d(cscu)
-csc(u)cot(u) du
14
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d(sin⁻¹u)
du/√(1-u²)
15
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d(cos⁻¹u)
-1 * du/√(1-u²)
16
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d(tan⁻¹u)
du/(1+u²)
17
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d(cot⁻¹u)
-1* du/(1+u²)
18
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∫du
u + c
19
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∫adu
a∫du
20
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∫(du+dv)
∫du + ∫dv
21
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∫uⁿ du
(uⁿ⁺¹)/(n+1) + C, n≠-1
22
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∫(du/u)
ln|u| + C
23
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∫e^u du
(e^u) + C
24
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∫a^u du
1/lna × a^u + C
25
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∫cosu du
sinu + C
26
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∫sinu du
−cos(u) + C
27
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∫sec^2(u) du
tan(u) + C
28
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∫csc^2(u) du
-cot(u) + C
29
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∫sec(u)tan(u)du
sec(u) + C
30
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∫csc(u)cot(u)du
−cscu+C
31
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∫du/√(a²-u²)
sin⁻¹(u/a) + C or -cos⁻¹(u/a) + C
32
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∫du/√(a²+u²)
(1/a)×tan⁻¹(u/a) + C or -1×(1/a)×cot⁻¹(u/a) + C
Note 
Flashcards (50)