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Glossary of Flashcard Quiz

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Created by ErnieG

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Average value of F(x) on [a,b]
1/b-a bSa f(x)dx
if F(x) is the antdervatve of f(x) then

aSb f(x)dx=

F(b)-F(a)
S lnxdx
xln|x|-x
S secxdx
ln|secxtanx|
S tanx dx
-ln|cosx|
S cotx dx
ln|sinx|
S (sinx)^2
x/2 - sin2x/4
S (cosx)^2
x/2 + sin2x/4
S (sinx)^2 cosx
(sinx)^3/
S e^(-x)
-e^(-x)
S a^x
a^x/lna
Trapezoid Rule
(h/2)(y+2y+2y....+2y+2y)
S cos(x/2)
2sin(x/2)
S sin5x dx
-cos(5x)/5
S x^(-1)
lnx
S 1/x^(1/2)
2x^(1/2)
S dx/(1-x^2)^(1/2)
(sinx)^-1
S x/(1-x^2)
-ln|1-x^2|/2
S dx/(1-x)
-ln|1-x|
if (dP/dt)= (K/M)P(M-P)

P=

M/1+Poe^(-kt)
if (dP/dt)= (10/600)P(600-P)

then P=

600/1+Poe^(-10t)

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