intergration Flashcards

1
Q

intergrate ax^n

A

a/n+1 x^(n+1) +c

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2
Q

intergrate e^x

A

e^x +c

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3
Q

intergrate 1/x

A

ln |x| +c

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4
Q

intergrate cos x

A

sin x +c

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5
Q

intergrate sin x

A

-cos x +c

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6
Q

intergrate sec^2 x

A

formula book

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7
Q

intergrate secxtanx

A

sec x +c

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8
Q

intergrate cosec^2x

A

-cot x +c

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9
Q

intergrate cosecxcotx

A

-cosec x +c

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10
Q

intergratef’(ax+b)

A

1/a f(ax+b) +c

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11
Q

reverse chain rule

A

consider what function you think should be then scale that function so works correctly

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12
Q

integrate by subsistution

A

“sir loves deriavtive”
1. subsistution
2. limits
3. deravtive of u

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13
Q

integration by parts

A

in formula book
priority wise for u
Logs
Alegbra
Trig
Expotnetial

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14
Q

parametric integration

A

ingrate y equation times derivative of x equation
change the limits

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15
Q

tips for intergration

A

“sir really adores partial fractions”
Split the numerator
reverse chain rule
algebraic division
partial fractions

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16
Q

trap rule

A

intergral of y with respect to x = 1/2 h (first + last + 2(middles))