AP Calculus AB - 6.1 - 6.5

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Integrals and derivatives for 6.1 - 6.5 AP Calc AB

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14 Terms

1
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g’(a)
1/f’(g(a))
2
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y = ln(u(x))
y’ = 1/u(x) \* u’(x)
3
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y = e^u
y’ = e^u \* u’(x)
4
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∫e^u du
e^u + c
5
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∫1/u du
ln|u| + c
6
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y = a^u
y’ = a^u ln(a) \* u’(x)
7
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∫a^u du
a^u/ln(a) + c
8
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y = logau
y’ = 1/ln(a) *1/u* u’(x)
9
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∫sin u du
\-cos u + c
10
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∫cos u du
sin u + c
11
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∫tan u du
ln |sec u | + c
12
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∫cot u du
ln |sin u| + c
13
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∫sec u du
ln |sec u + tan u| + c
14
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∫csc u du
\-ln |csc u + cot u| + c