APCalcAB Integration Formulas Mem. Quiz

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18 Terms

1
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⎰a dx
ax + C
2
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⎰1/2 dx
ln |x| + C
3
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⎰e^x dx
e^x + C
4
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⎰a^x dx
(a^x)/(ln a) + C
5
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⎰x^n dx
(x^(n+1))/(n+1) + C, n=!-1
6
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⎰sin x dx
\-cos x + C
7
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⎰cos x dx
sin x + C
8
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⎰tan x dx
ln |sec x| + C or -ln |cos x| + C
9
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⎰cot x dx
ln |sin x| + C
10
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⎰sec x dx
ln |sec x + tan x| + C
11
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⎰ csc x dx
ln |csc x - cot x| + C
12
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⎰sec^(2) x dx
tan x + C
13
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⎰sec x tan x dx
sec x + C
14
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⎰csc^(2) x dx
\-cot x + C
15
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⎰csc x cot x dx
\-csc x + C
16
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⎰tan^(2) x dx
tan x - x +C
17
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⎰(dx)/(a^(2) + x^(2))
(1/a) arctan (x/a) + C
18
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⎰(dx)/(sqrt a(^2) - x^(2))
arcsin (x/a) + C