Trig Integrals Flashcards

1
Q

sin(x)

A

-cos(x)

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2
Q

Cos(x)

A

sin(x)

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3
Q

Sec^2(x)

A

Tan(x)

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4
Q

Tan(x)

A

Ln(abs(sec(x)))

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5
Q

Cot(x)

A

Ln(abs(sin(x)))

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6
Q

Sec(x)

A

Ln(abs(sec(x)+tan(x)))

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7
Q

Csc(x)

A

Ln(abs(csc(x)-cot(x)))

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8
Q

1/x

A

Ln(abs(x))

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9
Q

B^x

A

B^x / ln(B)

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10
Q

Csc^2x

A

-cot(x)

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11
Q

Sin^2(x)

Power reduction

A

1/2 - (1/2)cos(2x)

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12
Q

Cos^2(x)

Power reduction

A

1/2 + (1/2)cos(2x)

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13
Q

Tan^2(x)

Identity w sec

A

Sec^2x - 1

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14
Q

Sec^n(x)

Power reduction

A

1/(n-1) * sec^(n-2)x * tan(x) + (n-2)/(n-1) *** integral sec^(n-2)x

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15
Q

Tan^n(x)

Power reduction

A

1/(n-1) * tan^(n-1)x - integral tan^(n-2)x

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16
Q

Tan/Sec identity

A

Sec^2(theta) - Tan^2(theta) == 1

17
Q

Tan^2(theta)

A

Sec^2(theta) - 1

18
Q

arcsin(u)

A

U*arcsin(u) + sqrt(1-u^2)

19
Q

arccos(u)

A

uarccos(u) - sqrt(1-u^2)

20
Q

Arctan(u)

A

U*arctan(u) - 1/2(ln(1+u^2))