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![[Post New]](/templates/default/images/icon_minipost_new.gif) 3 Apr 2008 10:21:01 IST
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is there any method by which i can approx. the correct answer of a definite integration out of other options, without having to go by conventional(long) method of solving it. if yes please elaborate it. thnx
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3 Apr 2008 10:37:50 IST
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use concept of areas
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3 Apr 2008 10:41:07 IST
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not all can be solved by this .but insome cases the given function i.e the curve is identified &calculating the area in the given limits by goemetry formulae.
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3 Apr 2008 12:19:55 IST
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hii
well well .. shortcuts are always risky :) .. however area method is one trickk .. however i must say tat it is always risky ... u never knw u made some mistake here n thr .. and it all went bad . .
cheers
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Puneet Agrawal
IIT Delhi
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u can use trapezium rule or simpsons rule
simsons is more accurate:
integral a to b f(x) dx
approx= (b-a)/6*{f(a) + 4f((a+b)/2) + f(b)}
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Nitwit Blubber Odment Tweak
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3 Apr 2008 12:45:58 IST
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is this simsons always useful listening for first time
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3 Apr 2008 14:36:43 IST
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thnx guys it really helped me :). and simpsons rule looks cool.
but lets hope it doesn't get even more complicated for than conventional method :) specially if the integration involves trig.
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3 Apr 2008 14:49:21 IST
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its wrong method (simpson) tried 5 ques all types no one giving eithet approx ans
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3 Apr 2008 17:29:54 IST
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http://en.wikipedia.org/wiki/Simpson%27s_rule
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3 Apr 2008 17:57:32 IST
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hey !
well i hav heard of this rule for the first time !
lemme try it and c if it is really useful !!!
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Umang |
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