Integral Calculus

Cool goIITian

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3 Apr 2012 22:04:52 IST
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challenging question
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Integral Calculus

integral of [1-(esinx)^2]^.5



Comments (18)


Cool goIITian

Joined: 31 Mar 2012
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6 Apr 2012 19:41:15 IST
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no one can try it?????? :((

Blazing goIITian

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6 Apr 2012 19:50:43 IST
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we know that e^-x=sinx so putt sinx=e^-x in ur question and get the answer
Mayank  Mittal's Avatar

Cool goIITian

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6 Apr 2012 20:00:55 IST
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 how can you say that e^-x = sinx


Blazing goIITian

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6 Apr 2012 20:04:58 IST
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it is a formula check it

Blazing goIITian

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6 Apr 2012 20:08:12 IST
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sorry sorry sorry that not one
Mayank  Mittal's Avatar

Cool goIITian

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6 Apr 2012 20:10:45 IST
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 please tell me how e^-x = sinx is it by complex number

 


Blazing goIITian

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6 Apr 2012 20:13:54 IST
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no its wrong it is e^ix-e^-ix/2i=sinx
Mayank  Mittal's Avatar

Cool goIITian

Joined: 19 Feb 2011
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6 Apr 2012 20:21:36 IST
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so that you told some time ago was wrong and the method of substitution in finding integral is wrong

Blazing goIITian

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6 Apr 2012 20:22:26 IST
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yeh it was sorry 4 dat broo

Hot goIITian

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6 Apr 2012 20:30:41 IST
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i don thnk u can solve by tht substituion... plzz solve it tarun... m nt gettng it..

Cool goIITian

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7 Apr 2012 14:41:48 IST
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i tried soo much by substitution but not got the answer :((
ronnie's Avatar

Scorching goIITian

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14 Apr 2012 12:55:04 IST
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E is  elliptical integral of second kind ...4m were dd u gt it???

Mayank  Mittal's Avatar

Cool goIITian

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14 Apr 2012 13:09:47 IST
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another way is that use the binomial expansion of (1-(esinx)²)^1/2 and then write esinx = Im (e^(1+ix)) and then integrate it
Mayank  Mittal's Avatar

Cool goIITian

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14 Apr 2012 13:10:20 IST
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and by the way ronnie you should use your own tricks not of wolfram alpha tricks
ronnie's Avatar

Scorching goIITian

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19 Apr 2012 23:38:52 IST
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this is nt a trick......i read it 4m wolfram...gaining knowledge doesnt mean copying trcks......

Blazing goIITian

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19 Apr 2012 23:54:46 IST
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Welfram alpha what is that could u pls explain

Cool goIITian

Joined: 31 Mar 2012
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9 May 2012 09:28:28 IST
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any 1 can u try dis?

Blazing goIITian

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10 May 2012 13:47:51 IST
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 wolfram alpha tricks  what is it explain.




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