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Calculus Formulas
Integrals and Derivatives
35
Mathematics
12th Grade
03/25/2010

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Cards

Term
∫kf(u)=?
Definition
k∫f(u)du
Term
∫du=?
Definition
u+C
Term
∫du/u=?
Definition
ln[u]+C
Term
∫a^udu=?
Definition
(1/ln[a])a^u+C
Term
∫cos(u)du=?
Definition
sin(u)+C
Term
∫cot(u)du=?
Definition
ln[sin(u)]+C
Term
∫csc(u)du=?
Definition
-ln[csc(u)+cot(u)]+C
Term
∫csc^2(u)du=?
Definition
-cot(u)+C
Term
∫csc(u)cot(u)du=?
Definition
-csc(u)+C
Term
∫[f(u)±g(u)]du=?
Definition
∫f(u)du±∫g(u)du
Term
∫u^ndu=?
Definition
u^n+1/n+1+C n≠-1
Term
∫e^udu=?
Definition
e^u+C
Term
∫sin(u)du=?
Definition
-cosu+C
Term
∫tan(u)du=?
Definition
-ln[cos(u)]+C
Term
∫sec(u)du=?
Definition
ln[sec(u)+tan(u)]+C
Term
∫sec^2(u)du=?
Definition
tan(u)+C
Term
∫sec(u)tan(u)du=?
Definition
sec(u)+C
Term
d/dx [cu]=?
Definition
cu'
Term
d/dx [u±v]=?
Definition
u'±v'
Term
d/dx [uv]=?
Definition
uv'+vu'
Term
d/dx [u/v]=?
Definition
vu'-uv'/v^2
Term
d/dx [c]=?
Definition
0
Term
d/dx [u^n]=?
Definition
nu^n-1u'
Term
d/dx [x]=?
Definition
1
Term
d/dx [abs(u)]=?
Definition
u/abs(u) x (u') u≠0
Term
d/dx [ln(u)]=?
Definition
u'/u
Term
d/dx [e^u]=?
Definition
e^u x u'
Term
d/dx [loga(u)]=?
Definition
u'/(ln[a])u
Term
d/dx [a^u]=?
Definition
(ln[a])a^u x u'
Term
d/dx [sin(u)]=?
Definition
(cos[u])u'
Term
d/dx [cos(u)]=?
Definition
-(sin[u])u'
Term
d/dx [tan(u)]=?
Definition
(sec^2[u])u'
Term
d/dx [cot(u)]=?
Definition
-(csc^2[u])u'
Term
d/dx [sec(u)]=?
Definition
(sec[u]tan[u])u'
Term
d/dx [csc(u)]=?
Definition
-(csc[u]cot[u])u'
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