Table of Integrals Flashcards

1
Q

x^n dx

A

x^n+1/n+1

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2
Q

1/x dx

A

ln |x|

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3
Q

e^x dx

A

e^x

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4
Q

b^x dx

A

b^x/ln b

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5
Q

sin(x) dx

A

-cos(x)

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6
Q

cos(x) dx

A

sin(x)

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7
Q

sec^2 (x) dx

A

tan(x)

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8
Q

csc^2 (x) dx

A

-cot(x)

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9
Q

sec(x)tan(x) dx

A

sec(x)

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10
Q

csc(x)cot(x) dx

A

-csc(x)

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11
Q

sec(x) dx

A

ln |sec(x) + tan(x)|

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12
Q

csc(x) dx

A

ln |csc(x) - cot(x)|

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13
Q

tan(x) dx

A

ln |sec(x)|

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14
Q

cot(x) dx

A

ln |sin(x)|

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15
Q

sinh(x) dx

A

cosh(x)

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16
Q

cosh(x) dx

17
Q

dx/x^2 + a^2

A

1/a tan^-1 (x/a)

18
Q

dx/{a^2 - x^2}

A

sin^-1(x/a)