Antiderivatives of Trig Functions Flashcards

(13 cards)

1
Q

sin x dx

A

-cos x

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2
Q

cos x dx

A

sin x

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3
Q

sec^2 x dx

A

tan x

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4
Q

csc^2 x dx

A

-cot x

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5
Q

sec x tan x dx

A

sec x

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6
Q

csc x cot x dx

A
  • csc x
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7
Q

tan x dx

A

ln |sec x|

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8
Q

cot x dx

A

ln |sin x|

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9
Q

sec x dx

A

ln |sec x + tan x|

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10
Q

csc x dx

A

ln |cscx - cotx|

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11
Q

1 / sqrt(a^2 - u^2) dx

A

arcsin u/a + c

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12
Q

1 / (a^2 + u^2) dx

A

(1/a)(arctan u/a) + c

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13
Q

1/(u*sqrt(u^2-a^2)) dx

A

(1/a)(arcsec u/a) + c

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