integral+tri identity Flashcards

1
Q

identity sin cos

A

sin^2 x+cos^2 x=1

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2
Q

identity sec tan

A

tan^2 x+ 1 = sec^2 x

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3
Q

identity cot csc

A

cot^2 x + 1 = csc^2 x

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4
Q

integral cosx dx

A

sinx

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5
Q

integral sinx dx

A

-cosx

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6
Q

integral sec^2 x dx

A

tanx

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7
Q

integral secxtanx dx

A

secx

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8
Q

integral cscx cotx dx

A

-cscx

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9
Q

integral csc^2x dx

A

-cotx

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10
Q

integral tanxdx

A

ln|secx|

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11
Q

integral cotxdx

A

ln|sinx|

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12
Q

integral secxdx

A

ln|secx+tanx|

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13
Q

integral csc

A

ln|cscx-cotx|

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14
Q

integral sin^mcos^n m=ganjil

A

sub u=sinx

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15
Q

integral sin^mcos^n n=ganjil

A

sub u=cosx

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16
Q

integral sin^mcos^n
m&n both genap

A

sin^2 x=1/2 (1- cos2x)
cos^2 x=1/2 (1+ cos2x)

17
Q

integral tan^msec^n
m =ganjil

A

sub u = secx

18
Q

integral tan^msec^n
n =genap

A

sub u=tanx

19
Q

integral akar (a^2-x^2)

20
Q

integral akar (a^2+x^2)

21
Q

integral akar (x^2-a^2)

22
Q

integral 1/x dx

23
Q

integral 1/(x^2+a^2)

A

1/a tan^-1 (x/a)

24
Q

integral 1/akar(a^2 - x^2)

A

sin^-1(x/a)