Ch7 Flashcards

0
Q

Derivative of the arccos U

A

-u’/(1-u^2)^1/2

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1
Q

Derivative of the arcsin U

A

=u’/(1-u^2)^1/2

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2
Q

Derivative of the arctan u

A

=u’/(1+u^2)

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3
Q

∫u’/(a^2-u^2)^1/2dx =

A

Arcsin u/a +C

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4
Q

∫u’/(a^2+u^2)dx =

A

1/a arctan u/a +C

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5
Q

Integration by parts

A

∫u dv = uv- ∫v du

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6
Q

P=

A

M/(1+Ce^-kmt)

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7
Q

Indeterminate forms

A
∞•0
∞-∞
1^∞
0^0
∞^0
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8
Q

∫cosx=

A

Sinx

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9
Q

∫sinx =

A

-cosx

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10
Q

∫sec^2=

A

Tanx+C

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11
Q

∫csc^2 x=

A

-cotx +C

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12
Q

∫sec x tan x=

A

Sec x+C

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13
Q

∫csc x cot x =

A

-csc +C

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14
Q

Eulers method

A

X | Y | M | Delta Y=m delta x

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15
Q

d/dx a^u=

A

a^u u’ Lna