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![[Post New]](/templates/default/images/icon_minipost_new.gif) 5 Jun 2008 19:56:30 IST
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If  , then ex is equal to :
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6 Jun 2008 16:34:05 IST
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The answer is ex=4.First put eu-1=t2  eudu=2tdtdu=2tdt/1+t2
So,the integral becomes
(t)}=2[{Tan}^{-1}\sqrt{e^x-1}-pi/4])
Hence,This is equal to pi/6 iff Tan-1(rtex-1)=pi/3ex-1=3ex=4.
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