Ap Calc Flashcards by Addi Kessler | Brainscape

Q

cos2x

A

cos^2x-sin^2x

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Q

cos^2x

A

1/2 + cos2x/2

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Q

sin^2x

A

1/2 - cos2x/2

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Q

tan^2x+1

A

sec^x

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Q

d’ tank

A

sec^2x

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Q

d’ secx

A

secxtanx

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Q

d’ cotx

A

-csc^2x

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Q

d’ cscx

A

-cscxcotx

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Q

d’ sin^-1x

A

1/√(1-x^2) dx

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Q

d’ tan^-1x

A

1/(x^2+1) dx

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Q

d’ sec^-1x

A

1/(|x|√(x^2-1) dx

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Q

Ln1

A

0

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Q

Lne

A

1

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Q

Lne^x

A

x

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Q

e^Lnx

A

x

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Q

Lnx^n

A

nLnx

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Q

LnA+LnB

A

Ln(A*B)

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Q

LnA-LnB

A

Ln(A/B)

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Q

d’ Lnx

A

1/x dx

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Q

n√x

A

x^(1/n)

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Q

1/x

A

x^-1

Q

(a/b)^-1

A

b/a

Q

x^a^b

A

x^(a*b)

Q

∫cos^2x dx

A

∫1/2 + ∫cos2x/2

Q

∫sin^2x dx

A

∫1/2 - ∫cos2x/2

Q

∫dx/√(a^2-x^2)

A

sin^-1(x/a) +c

Q

∫dx/x√(x^2-a^2)

A

1/x(sec^-1(u/a)) + c

Q

∫dx/(a^2+x^2)

A

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

Q

∫tanx dx

A

-Ln|cosx| + c

Q

∫cotx dx

A

Ln|sinx| + c

Q

∫secx dx

A

Ln|secx+tanx| +c

Q

∫cscx dx

A

-Ln|cscx+cotx| +c

Q

∫sec^2x dx

A

tan x +c

Q

∫csc^2x dx

A

-cotx + c

Q

∫secxtanx

A

secx +c

Q

∫cotxcscx

A

-cscx +c

Q

sin0

A

0

Q

sin1

A

1

Q

sin(30)

A

1/2

Q

sin(45)

A

√2/2

Q

sin(60)

A

√3/2

Q

cos0

A

1

Q

cos1

A

0

Q

cos(30)

A

√3/2

Q

cos(45)

A

√2/2

Q

cos(60)

A

1/2

Q

tan(0)

A

0

Q

tan(π/2)

A

0

Q

tan(π/4)

A

1

Q

0°

A

0