# math

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1. integral of tanxdx
-ln|cosx|+c
2. integral (cotxdx)
ln|sinx|+c
3. integral secxdx
ln|secx+tanx|+c
4. integral of cscxdx
-ln|cscx+cotx|+c
5. integral of sin^2xdx
integral of (1-cos2x)/2 dx
6. integral of cos^2xdx
integral of (1+cos2x)/2 dx
7. integral of tan^2x
tan(x)-x+c
8. integral of cot^2x
-x-cot(x)+c
9. integral of lnxdx
xlnx-x+c
10. integral of (1/x)dx
ln|x|+c
11. derivative of lnx
1/x
12. derivative of tan^-1x
1/(x^2+1)
13. derivative of sin^-1x
1/sqrt(1-x^2)
14. derivative of cos^-1x
-1/sqrt(1-x^2)
15. 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)
16. 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)
17. average value of a function
Avg Val= 1(b-a) * integral f(x)dx (a,b)
18. mvt for integrals
integral of f(x)dx (a,b)=(b-a)*f(c)
19. equilateral triangle
20. rhombus (area)
a=.5 (d1*d2)
21. area of trapezoid
A=.5h(b1+b2) OR A=hm (m is the midsegment)
22. regular polygon
A= .5a (apothem)p (perimeter)
23. SA of pyramids
A= .5pl + b
24. volume of cone/ sa of cone
(1/3)pir^2h/ pi(r)(l)+(pi)r^2
25. rate of change is proportional / inversely
dy/dt=ky ; k/y
26. growth/decay
A= Ao e^(kt)
27. find y1
y0 + h times F(x0, y0)
28. revolve aroudn y
V= integral of pi (f(y))^2 dy (a to b)
29. revolve around x
V= integral of pi (f(x))^2 dx (a to b)
30. cross section
integral of (f(x) - g(x))^2 dx from to b
31. arc length
integral from a to b of square root of (1+ f'(x)^2) dx
 Author: xtonyfl ID: 42104 Card Set: math Updated: 2010-12-10 07:56:34 Tags: memory quiz Folders: Description: lul Show Answers: