Shared Flashcard Set

Details

series angle/2, and solids
series and half angle
16
Mathematics
Undergraduate 1
12/14/2008
Click here to study/print these flashcards.

Create your own flash cards! Sign up here.

Additional Mathematics Flashcards

 

 

Cards

Term
cos^2(theta)
 Definition
(1+cos(2*0))/2
Term
sin^2(theta)
 Definition
(1-cos(2*0))/2
Term
Area in polar
 Definition
int(1/2*r^2d0)
Term
arc length in polar
 Definition
int(sqroot(r^2+(dr/d0)^2))d0
Term
geometric series
 Definition
sum:ar^(n-1)=a/(1-r)
Term
Harmonic Series
 Definition
sum:1/n diverges
Term
divergence test
 Definition
if lim:n to inf of an doesn't = 0 diverges.
Term
Alternating Series
 Definition
if series alternates, bn+1 less than bn for all n, and passes divergence test, series converges, conditionally...
Term
Integral Test
 Definition
if int(1 to inf of f(x)dx) then sum an converges if f(n)=an.
Term
limit comparison test
 Definition
lim as n to inf of an/bn=c and c greater than 0 then an and bn both diverge or both converge.
Term
washer method v=
 Definition
int(pi(rout)^2-pi(rin)^2)
Term
shells method v=
 Definition
int(2*pi*x*f(x)dx)
Term
by parts integration
 Definition
int(udv)=uv-int(vdu)
Term
int(tan(x)dx)
 Definition
ln|secx| +C
Term
int(secxdx)
 Definition
ln|secx+tanx|+C
Term
midpoint rule
 Definition
intF(x)dx~sum:f(x(bar)i)dx where dx=(b-a)/n and x(bar)i=(x(i-1)+xi)/2
Supporting users have an ad free experience!