Integration ;) Flashcards

1
Q

x^n

A

x^n+1 / n+1

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2
Q

e^ax+b

A

e^ax+b / a

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3
Q

1 / ax+b

A

ln|ax+b| / a

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4
Q

(ax+b)^n

A

(1/a) x (a+b)^n+1 / n+1

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5
Q

sin kx

A

-1/k x coskx

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6
Q

cos kx

A

1/k x sinkx

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7
Q

tan kx

A

1/k x ln|sec kš‘„|

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8
Q

cot kx

A

1 / k x ln|sin kš‘„|

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9
Q

cosec kx

A

-1/k x ln|cosec kš‘„ + cot kš‘„|
or
1/k x ln|tan1/2 kš‘„|

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10
Q

sec kx

A

1/k x ln|sec kš‘„ + tan kš‘„|

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11
Q

sec^2 kx

A

1/ k x tan kx

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12
Q

sec kš‘„ tan kš‘„

A

1/k x sec kx

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13
Q

cosec^2 kx

A

-1/k x cot kx

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14
Q

cosec kx cot kx

A

-1/k cosec kx

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