Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 Re: Help Me ! » solving definite integrals, solving systems uisng Gaussian elimination » 2006-10-11 17:15:02

alll sorted, had my calc in degree mode not radians. answer is 0.221

thanks everyone!!

#2 Re: Help Me ! » solving definite integrals, solving systems uisng Gaussian elimination » 2006-10-11 17:09:47

so, is the answer i had roughly calculated before of approx 0.031 correct, as when i'm solving it now i'm getting answers that are like 5.4x10^-3 sad

#3 Help Me ! » solving definite integrals, solving systems uisng Gaussian elimination » 2006-10-10 17:12:02

1600dave
Replies: 5

not sure if this is the correct section to post but seemed most suitable to me...please move if needed.

here's the problem integral problem
Clipboard01.jpg

the way i've been doing it, and the way i want to is to find the antiterivative and then sub in the limits, however, have some trouble doing so.
i'l use '~' as the integral symbol
and 'sqrt' as square root symbol

first i let u = sinx   where du=cosxdx
therefore

=-sinx 0~1/2 sqrt(u)*du       if x=0, u=0      if x=1/2, u=0.009

= -sinx 0~0.009 u^1/2*du

=-sinx [2/3U^2/3]

=[-sinx(2/3sinx^3/2)]

and the answers are completely wrong. i have check it on my calculator and it should be 0.031 or thereabouts.

secondly, solving the systems using the Gaussian elimination method, i haven't been able to come across any results that satisfy and of the equations.

here is the equations giving me trouble
Clipboard02.jpg

and here is what i worked out

  2 4 -6, 2           1 0 4, 6         1 0 4, 6           1 0 4, 6          1 0 0,-98
[ 0 1 2,  4 ]  ~  [ 0 1 2, 4 ]  ~  [0 1 2, 4 ]  ~  [ 0 1 2, 4 ]  ~  [0 1 0, 75/22]
  1 0 4, -6           2 4 -6, 2        0 4 -14, -10     0 0 -22, -26    0 0 1, 13/11


if someone could smash up what they thinks right, thatd be awesome as i'm just blind to what i've done wrong (most people are to their own mistakes!), or how i should go about it. these are the methods i need to use to solve them to so please dont smash up easier ways, i'd be using them if i could!
thanks,
dave

Board footer

Powered by FluxBB