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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 |