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integral of tanxdx
-ln|cosx|+c
integral (cotxdx)
ln|sinx|+c
integral secxdx
ln|secx+tanx|+c
integral of cscxdx
-ln|cscx+cotx|+c
integral of sin^2xdx
integral of (1-cos2x)/2 dx
integral of cos^2xdx
integral of (1+cos2x)/2 dx
integral of tan^2x
tan(x)-x+c
integral of cot^2x
-x-cot(x)+c
integral of lnxdx
xlnx-x+c
integral of (1/x)dx
ln|x|+c
derivative of lnx
1/x
derivative of tan^-1x
1/(x^2+1)
derivative of sin^-1x
1/sqrt(1-x^2)
derivative of cos^-1x
-1/sqrt(1-x^2)
Fundamental Theorem of Calc Part 2
if f(x) is continuous on an open itnerval containing a, then for every x in the interval:
d/dx(integral of [f(t)dt] (a,x))=f(x)
Fundamental Theorem of Calc
if a function is continuous on [a,b] and F is an anti-deriv of f(x) then
integral of f(x)dx (a,b) = F(b)- F(a)
average value of a function
Avg Val= 1(b-a) * integral f(x)dx (a,b)
mvt for integrals
integral of f(x)dx (a,b)=(b-a)*f(c)
equilateral triangle
A=(S^2(rad3))/4
rhombus (area)
a=.5 (d1*d2)
area of trapezoid
A=.5h(b1+b2) OR A=hm (m is the midsegment)
regular polygon
A= .5a (apothem)p (perimeter)
SA of pyramids
A= .5pl + b
volume of cone/ sa of cone
(1/3)pir^2h/ pi(r)(l)+(pi)r^2
rate of change is proportional / inversely
dy/dt=ky ; k/y
growth/decay
A= Ao e^(kt)
find y1
y0 + h times F(x0, y0)
revolve aroudn y
V= integral of pi (f(y))^2 dy (a to b)
revolve around x
V= integral of pi (f(x))^2 dx (a to b)
cross section
integral of (f(x) - g(x))^2 dx from to b
arc length
integral from a to b of square root of (1+ f'(x)^2) dx
Author
xtonyfl
ID
42104
Card Set
math
Description
lul
Updated
2010-12-10T07:56:34Z
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