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Reply Forum Index -> Integral Calculus originally posted here on IIT-JEE / AIEEE community   
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[Post New] 23 Aug 2007 11:45:13 IST
   Subject: Integration
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A K (934)

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0[ ][infinty ] x3+3/x6(x2+1)=
(a+b)/c
find a b and c
experts plz help me with this problem
 
    
[Post New] 23 Aug 2007 12:26:04 IST
   Subject: Integration
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A K (934)

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anyone plzzzzzzzz
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[Post New] 23 Aug 2007 18:11:58 IST
   Subject: Integration
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A K (934)

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experts help plz!!!!!!!!!
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[Post New] 23 Aug 2007 18:35:49 IST
   Subject: Re:Integration
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Nivedh Iyer (3456)

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hey apoorva..................!!!!!!!!!!!!!!!!!!!
use this formula.................!!!!!!!!!!!!
maybe it will help.................!!!!!!!!!!!!!!!!!!!!


$displaystyle intdisplaystyle rac{dx}{x^{displaystyle m}(x^{displaystyle2... ...x^{displaystyle m-2}(x^{displaystyle2}+a^{displaystyle2})^{displaystyle n}}$
The inevitable truth of life.....everyone in our life is going 2 hurt sooner or later......u just have 2 realise who is worth.....

the PAIN or the PERSON...!!!
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[Post New] 23 Sep 2007 11:10:36 IST
   Subject: Re:Integration
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Bipin Dubey (13659)

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Substitute x = tany
dx = sec2y.dy

I = [(tan3y + 3) / {tan6y.(tan2y+1)}].(sec2y..dy)

I =  [(tan3y + 3) / (tan6y.sec2y)].(sec2y..dy)

I = (tan3y + 3) / (tan6y). dy

I = coty3y.dy + 3( tan3y.dy)

coty3.dy

= coty.cot2y.dy

= coty.(cosec2y - 1).dy

= coty.cosec2y.dy - coty.dy

= - coty.d(coty) - d(sinx)/sinx

= -cot2y/2 - ln(sinx) + c

Similarly proceed for 3( tan3y.dy).
Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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