integrals Flashcards

1
Q

∫ x^n dx

A

x^(N+1)/N+1

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2
Q

∫ 1.dx

A

x

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3
Q

∫ cos x dx

A

sinx

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4
Q

∫ sinx dx

A

-cosx

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5
Q

∫ sec^(2)x dx

A

tanx

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6
Q

∫ cosec^(2)x dx

A

-cotx

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7
Q

∫ secx tanx dx

A

sec x

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8
Q

∫ cosecx cotx dx

A

-cosec x

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9
Q

∫ 1/x dx

A

log|x|

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10
Q

∫ a^(x) dx

A

a^(x)/log A

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11
Q

∫ tanx dx

A

log|secx|

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12
Q

∫ cotx dx

A

log|sinx|

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13
Q

∫ secx dx

A

log|secx +tanx|

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14
Q

∫ cosecx dx

A

log|cosecx-cotx|

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15
Q

∫ dx/x^2-a^2

A

1/2a(log|x-a/x+a|)

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16
Q

∫ dx/a^2-x^2

A

1/2a(log|a+x/a-x|)

17
Q

∫ dx/x^2+a^2

A

1/a tan-1(x/a)

18
Q

∫ dx/√x^2-a^2

A

log|x+√x^2-a^2|

19
Q

∫ dx/√ a^2-x^2

A

sin-1(x/a)

20
Q

∫ dx/√x^2+a^2

A

log|x+√x^2+a^2|