exam 2 Flashcards

1
Q

∫u dv = ?

A

uv - ∫v du

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2
Q

y’ of arcsinx = ?

A

1/√1-x^2

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3
Q

y’ of arccosx = ?

A

-1/√1-x^2

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4
Q

∫lnx = ?

A

don’t know - find another way

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5
Q

y’ of ln(9x) = ?

A

1/9x ⋅ 9 = 1/x

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6
Q

arc length formula

A

∫√1+(f’x)^2

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7
Q

surface area formula

A

∫2pif(x)√1+(f’x)^2

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8
Q

sin^2x = ?

A

1-cos(2x)/2

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9
Q

cos^2x = ?

A

1+cos(2x)/2

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10
Q

∫tanx

A

ln|secx|

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11
Q

∫secx

A

ln|secx + tanx|

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12
Q

∫cotx

A

ln|sinx|

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13
Q

∫cscx

A

-ln|cscx + cotx|

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14
Q

√x^2 - a^2 = ?

A

x = a secθ

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15
Q

√a^2 - x^2 = ?

A

x = a sinθ

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16
Q

√x^2 + a^2 = ?

A

x = tanθ

17
Q

sec^2x = ?

A

1 + tan^2x

18
Q

cosh(0) = ?

A

1