Anti-derivative Quiz Flashcards

1
Q

∫ k dx

A

kx + c

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2
Q

∫x^n dx

A

x^n+1/n+1

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3
Q

∫1/x dx

A

ln |x| + c

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4
Q

∫e^x dx

A

e^x + c

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5
Q

∫a^x d

A

(a^x/ ln a) +c

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6
Q

∫sin x dx

A

-cos x + c

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7
Q

∫cos x dx

A

sin x +c

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8
Q

∫sec^2 x dx

A

tan x +c

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9
Q

∫csc^2 x dx

A

-cot x + c

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10
Q

∫ sec x tanx dx

A

sec x +c

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11
Q

∫ csc x cot x dx

A

-csc x +c

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12
Q

∫ 1/√1-x^2 dx

A

sin^-1 x +c

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13
Q

∫1/1+x^2 dx

A

tan ^-1 x + c

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14
Q

∫1/x√x^2 - 1 dx

A

sec x^-1 x + c

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15
Q

∫f(g(x))g^1(x) dx

A

F(g(x)) + c

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16
Q

∫g^1(x)/g(x) dx

A

ln|g(x)| + c

17
Q

∫tan x dx

A

-ln |cos x| + c

18
Q

∫cot x dx

A

ln|sin x| + c