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Integral Calculus

Cool goIITian

Joined: 26 Jun 2007
Post: 42
5 Nov 2008 10:25:41 IST
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integration
None


 


find f(x) and g(x)


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Cool goIITian

Joined: 26 Jun 2007
Posts: 42
10 Nov 2008 17:31:48 IST
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please sove this ques
vnkt.  swaroop's Avatar

Blazing goIITian

Joined: 13 Jun 2008
Posts: 611
10 Nov 2008 19:25:33 IST
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when sinx is odd multiples of pie/2 then in some cases the value is -1, then in the denominator 0 appears and the functiom is not determinable.


As, only for continous function there is indefinite integration,i think it is not integrable.Once again you check the question.


If, i am wrong i am sorry.


tell me whether i am correct or not?


reply is must.

Mirka's Avatar

Blazing goIITian

Joined: 13 Aug 2008
Posts: 1313
14 Nov 2008 19:01:33 IST
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Let I =


 


substitute t = pi/2 - x


u get


I =


 



 


 


 


 


= - 2 . 21/2 . sin (t/2) + 2 / 21/2 . log | tan ( pi/4 + t/4 ) | + C


 


Now, substitiute 't' back


 


Thus, 


 


I = -2. root(2). sin ( pi/4 - x/2 )  + root(2). log | tan ( 3pi/8 - x/4 ) | + C


 


 


this is the final expression....


now u can easily find f(x) and g(x) by comparing with given expression.


 


ask if u dint get it !!


 



 


 




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