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72 Cards in this Set

  • Front
  • Back

X^2-y^2

(x+y)(x-y)

X^3+y^3

(x+y)(x^2-xy+y^2)

X^3-y^3

(x-y)(x^2+xy+y^2)

(sinθ)^2+(cosθ)^2

1

1+(tanθ)^2

(secθ)^2

1+(cotθ)^2

(cscθ)^2

Sin(-θ)

-sin(θ)

Cos(-θ)

Cos(θ)

Tan(-θ)

-tan(θ)

Sin(pi/2-θ)

cosθ

Cos(pi/2-θ)

Sinθ

Tan(pi/2-θ)

Cotθ

a^2

b^2+c^2-2bc(cosA)

b^2

a^2+c^2-2ac(cosB)

c^2

a^2+b^2-2ab(cosC)

x

((-b)+sqr(b^2-4ac))/2a

sin(x+y)

sin(x)cos(y)+cos(x)sin(y)

sin(x-y)

sin(x)cos(y)-cos(x)sin(y)

cos(x+y)

coa(x)cos(y)-sin(x)sin(y)

cos(x-y)

cos(x)cos(y)+sin(x)sin(y)

tan(x+y)

(tan(x)+tan(y))/(1-tan(x)tan(y))

tan(x-y)

(tan(x)-tan(y))/(1+tan(x)tan(y))

sin(2x)

2sin(x)cos(x)

cos(2x)

(cos(x))^2-(sin(x))^2

(cos(x))^2-(sin(x))^2

2(cos(x))^2-1

2(cos(x))^2-1

1-2(sin(x))^2

tan(2x)

(2tan(x))/(1-(tan(x))^2)

(sin(x))^2

(((1-cos(2x))/2)(cos(x))^2

(((1-cos(2x))/2)(cos(x))^2

(1+cos(2x))/2

d/dx (C)

0

d/dx [Cf(x)]

Cf'(x)

d/dx [f(x)+g(x)]

f'(x)+g'(x)

d/dx [f(x)-g(x)]

f'(x)+g'(x)

d/dx [f(x)g(x)]

f(x)g'(x)+g(x)f'(x)

d/dx f(x)/g(x)

(g(x)f'(x)-f(x)g'(x))/(g(x))^2

d/dx f(g(x))

f'(g(x))g'(x)

d/dx x^n

nx^(n-1)

d/dx e^x

e^x

d/dx a^x

a^x(ln(a))

d/dx ln|x|

1/x

d/dx (log(x))/(log(a))

1/((x)ln(a))

d/dx sin(x)

cos(x)

d/dx cos(x)

-sin(x)

d/dx tan(x)

(sec(x))^2

d/dx csc(x)

-csc(x)cot(x)

d/dx sec(x)

sec(x)tan(x)

d/dx cot(x)

-(csc(x))^2

d/dx (sin(x))^-1

1/(sqr(1-x^2))

d/dx (cos(x))^-1

-1/(sqr(1-x^2))

d/dx (tan(x))^-1

1/(1+x^2)

d/dx (csc(x))^-1

-1/(x(sqr(x^2-1)))

d/dx (sec(x))^-1

1/(x(sqr(x^2-1)))

d/dx (cot(x))^-1

-1/(1+x^2)

£ u dv

u v -£ v du

£u^n du

(1/(n+1))(u^(n+1))+ C

£du/u

ln|u|+C

£e^u du

e^u+C

£a^u du

(1/(ln(a)))(a^u)+C

£sin(u) du

-cos(u)+C

£cos(u) du

sin(u)+C

£(sec(x))^2 du

tan(u)+C

£(csc(u))^2 du

-cot(u)+C

£sec(u)tan(u) du

sec(u)+C

£csc(u)cot(u) du

-csc(u)+C

£tan(u) du

ln|sec(u)|+C

£cot(u) du

ln|sin(u)|+C

£sec(u) du

ln|sec(u)+tan(u)|+C

£csc(u) du

ln|csc(u)-cot(u)|+C

£du/(sqr(a^2-u^2))

(sin(u/a)^-1+C

£du/(u(sqr(u^2-a^2)))

(1/a)(sec(u/a))^-1+C

£du/(a^2-u^2)

(1/2a)(ln|(u+a)/(u-a)|)+C

£du/(u^2-a^2)

(1/2a)(ln|(u-a)/(u+a)|+C