Integrals Flashcards

1
Q

Cot x

A

1/tanx

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2
Q

Sec x

A

1/cosx

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3
Q

Cosec x

A

I/sinx

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4
Q

D/dx sec x

A

Tanx secx

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5
Q

D/dx cot

A

-cosec^2 x

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6
Q

D/dx cosec x

A

-cot x cosec x

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7
Q

D/dx sin ^-1 x

A

1/ sqrt (1+x^2)

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8
Q

D/dx cos^-1 x

A

1/ sqrt (1-x^2)

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9
Q

D/dx tan^-1 x

A

1/1+x^2

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10
Q

D/dx sec^-1 x

A

1/(|x|sqrtx^2 -1)

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11
Q

D/dx cosec^-1 x

A

1/(|x|sqrtx^2 -1)

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12
Q

Sec^2 x - tan^2 x

A

=1

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13
Q

D/dx ln(cosx)

A

-tanx

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14
Q

D/dx ln(sinx)

A

Cotx

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15
Q

D/dx sinh^-1 x

A

1/sqrt (1+x^2)

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16
Q

D/dx cosh^-1 x

A

1/sqrt (x^2 -1)

17
Q

D/dx tanh^-1

A

1/1-x^2

18
Q

Sin2x

A

2sinxcosx

19
Q

Cos2x

A

Cos^2 x - sin^2 x
2cos^2 x -1
1- 2sin^2 x

20
Q

Cosh x

A

(e^x +e^-x )/2

21
Q

Sinhx

A

(e^x -e^-x )/2

22
Q

Cot^2 x

A

Cosec^2 x -1

23
Q

D/dx cosec^2 x

A

-Cot x