Maths Integrals Flashcards

1
Q

Integrate: e^x

A

e^x + c (for ke^x > k/ke^kx)

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2
Q

Integrate 1/x

A

ln|x| + c (if k/x, factor out = kln|x| + c)

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3
Q

Integrate cos x

A

sin x + c

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4
Q

Integrate sin x

A

-cos x + c

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5
Q

Integrate -cos x

A

-sin x + c

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6
Q

Integrate -sin x

A

cos x + c

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7
Q

Integrate sec^2 x

A

tan x + c

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8
Q

Integrate cosec x cot x

A

-cosec x + c

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9
Q

Integrate cosec^2 x

A

-cot x + c

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10
Q

Integrate sec x tan x

A

sec x + c

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11
Q

Integrate (ax+b)^n

A

1/a ((ax+b)^n+1 / n+1) + c

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12
Q

Integrate 1/ax+b

A

1/a ln|ax+b|+ c

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13
Q

Integrate ln x

A

x ln(x) - x + c

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