Calculus 2 Flashcards

1
Q

dv formula

A

u,du | v,dv | u · v - ʃ v · du

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2
Q

asec

A

√(x² - a²)

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3
Q

asin

A

√(a² - x²)

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4
Q

atan

A

√(a² + x²)

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5
Q

Derivative Csc(x)

A

-Csc(x)Cot(x)

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6
Q

Derivative Cot(x)

A

-Csc²(x)

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7
Q

Derivative Sec(x)

A

Sec(x)Tan(x)

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8
Q

Derivative Tan(x)

A

Sec²(x)

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9
Q

Sin(a +|- b)

A

Sin(a)Cos(b) +|- Sin(b)Cos(a)

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10
Q

Cos(a +|- b)

A

Cos(a)Cos(b) -|+ Sin(a)Sin(b)

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11
Q

Sin(2Ɵ)

A

2(Cos(Ɵ))(Sin(Ɵ))

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12
Q

ArcTan(x)

A

(xˡ)/(1+x²)

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13
Q

ArcCos(x)

A

(-xˡ)/√(1-x²)

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14
Q

ArcSin(x)

A

(xˡ)/√(1-x²)

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15
Q

Law Of Cos

A

c² = a² + b² - 2ab(CosC)

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16
Q

Cot²Ө + 1

A

Csc²Ө

17
Q

Cos(2x)

A

1 - 2Sin²x