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![[Post New]](/templates/default/images/icon_minipost_new.gif) 23 Jan 2008 19:56:12 IST
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i came across this integral and wanted 2 share it wid u all [0 ] [ ] exp(-x2) dx. find the solution for it frens
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VARSHA KRISHNAN....
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IIT is always a word which rises E thru' d body. But 2 achieve it U hav 2 drain out d entire E out of the body....
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23 Jan 2008 20:06:19 IST
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hey do we have to use the concept of estimation in this?????wats the answer for this is it in interval form???
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ans is 1/2 sqrt( pi ) . U have to use gamma fn . or contour integral or some advanced mathematical techniques for its evaluation .
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23 Jan 2008 20:52:26 IST
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This can be done by double integration f(x)= 0 infinity e -x2dx multiply both side by 0 infinity ae -a2da 0 infinity e -a2 ada f(x) = 0 infinity0 infinity (ae -x2-a2da)dx put x2+a2=t 2ada=dt,ada=1/2dt put in this integration = 0 infinity 0 infinity((1/2e -t)dt)dx =-1/2 0 infinitye -tdx =-1/2 0 infinitye -(x2+a2)dx= put x2+a2=t 2xdx=dt solve this i think the ans should be = pi/  2
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23 Jan 2008 21:34:15 IST
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post edited sorry found my mistake nice method i shud say
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23 Jan 2008 21:55:07 IST
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raju111 did this integral crrctly...but d final answer is d one given by feynmann
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VARSHA KRISHNAN....
------------------------------------
IIT is always a word which rises E thru' d body. But 2 achieve it U hav 2 drain out d entire E out of the body....
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