math

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Author:
xtonyfl
ID:
42104
Filename:
math
Updated:
2010-12-10 02:56:34
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memory quiz
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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
    A=(S^2(rad3))/4
  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

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