AP Calculus AB - 6.1 - 6.5

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g’(a)

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Integrals and derivatives for 6.1 - 6.5 AP Calc AB

14 Terms

1

g’(a)

1/f’(g(a))

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2

y = ln(u(x))

y’ = 1/u(x) * u’(x)

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3

y = e^u

y’ = e^u * u’(x)

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4

∫e^u du

e^u + c

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5

∫1/u du

ln|u| + c

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6

y = a^u

y’ = a^u ln(a) * u’(x)

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7

∫a^u du

a^u/ln(a) + c

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8

y = logau

y’ = 1/ln(a) 1/u u’(x)

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9

∫sin u du

-cos u + c

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10

∫cos u du

sin u + c

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11

∫tan u du

ln |sec u | + c

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12

∫cot u du

ln |sin u| + c

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13

∫sec u du

ln |sec u + tan u| + c

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14

∫csc u du

-ln |csc u + cot u| + c

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