Trig. d/dx And Integrals Flashcards

To learn the derivatives and Integrals of trig functions

1
Q

d/dx of sin x

A

Cos x

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2
Q

d/dx cos x

A

-sin x

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3
Q

d/dx tan x

A

Sec^2 x

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4
Q

d/dx sec x

A

Sec x tan x

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5
Q

d/dx csc x

A

-cot x csc x

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6
Q

d/dx Sin^-1 x

A

1/sqrt(a^2-x^2)

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7
Q

d/dx Cos^-1 x

A

-1/sqrt(a^2-x^2)

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8
Q

d/dx tan^-1 x

A

1/(a^2+x^2)

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9
Q

d/dx cot^-1 x

A

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

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10
Q

d/dx sec^-1 x

A

1/[|x|sqrt(x^2-a^2)]

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11
Q

d/dx csc^-1 x

A

-1/[|x|sqrt(x^2-a^2)]

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12
Q

d/dx cot x

A

-csc^2 x

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13
Q

Sin x

A

-Cos x

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14
Q

Cos x

A

Sin x

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15
Q

Tan ax

A

1/a ln|sec ax|

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16
Q

Sec ax

A

1/a ln |sec x + tan x|

17
Q

Cot ax

A

1/a ln |sin ax|

18
Q

Csc ax

A

-1/a ln |csc ax + cot ax|