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Calc Integration Rules
Basic Integration Rules of Calculus
21
Mathematics
Undergraduate 2
11/26/2012
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Term
Integration of 0dx
 Definition
C
Term
Integration of a constant (k)dx
 Definition
kx+C
Term
Integration of k(f(x))dx
 Definition
k times the integral of f(x)
Term
Integration of [f(x)+/- g(x)]dx
 Definition
Integration of f(x) +/- the integration of g(x)
Term
Integration of [x^n]dx
 Definition
[(x^n+1)/n+1]+C
n CANNOT = -1
Term
Integration of cosx dx
 Definition
sinx+C
Term
Integration of sinx dx
 Definition
-cosx+C
Term
Integration of sec^2(x)dx
 Definition
tanx+C
Term
Integration of secxtanx
 Definition
secx+C
Term
Integration of csc^2(x)dx
 Definition
-cotx+C
Term
Integration of cscxcotx dx
 Definition
-cscx+C
Term
Integration of [e^x]dx
 Definition
(e^x)+C
Term
Integration of [a^x]dx
 Definition
[(1/ln(a))a^x]+C
Term
Integration of [1/x]dx
 Definition
[natural log of the absolute value of x]+C
Term
HA: BOB0
 Definition
Bigger on bottom, y=0
Term
HA: BOTN
 Definition
Bigger on top, none
Term
HA: EATS DC
 Definition
exponents are same, divide coefficients
Term
VA
 Definition
set denom=0
Term
OBL
 Definition
if degree is greater in num, long division
Term
Optimization
 Definition
find f' and f", find when f'=0, use 1st/2nd deriv test, check endpoints
Term
continuity
 Definition
f(c) must be defined, limit must exist, and lim as x->c f(x)=f(c)
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