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Share/Save/Bookmark Login/ Register to Bookmark Topic : "   very tough integral ---dare to try this one -----" Started by " ____________

" ____________

#1 Posted 10:27am 21-01-10  

  very tough integral ---dare to try this one -----

[im]http://codecogs.izyba.com/gif.latex?%5Cint%20%5Cfrac%7B%20dx%7D%7B%20%28a%5E2%20sin%5E2x%20+%20b%5E2%20cos%5E2x%20%29%20%5E2%7D[/im]
   

" ____________

#2 Posted 7:56pm 21-01-10  

Re:    very tough integral ---dare to try this one -----

plz   answer ------ is it integrable or not integrable -------------
   

eragon24

#3 Posted 7:59pm 21-01-10  

Re:    very tough integral ---dare to try this one -----

wats teh sorce

u made it up?
"Last thing I remember, I was running for the door; I had to find the passage back to the place I was before; 'Relax' said the night man, 'We are programed to receive'; 'You can check out any time you like, but you can never leave'_ ®    

MR FUNCTION

#4 Posted 9:18pm 21-01-10  

Re:    very tough integral ---dare to try this one -----

y do u say dat it wnt be integrated???????
Yesterday is HISTORY.Tomorrow is MYSTERY.But TODAY IS A GIFT.That's why it is a called 'THE PRESENT'.    

MR FUNCTION

#5 Posted 9:19pm 21-01-10  

Re:    very tough integral ---dare to try this one -----

wait m trying........
Yesterday is HISTORY.Tomorrow is MYSTERY.But TODAY IS A GIFT.That's why it is a called 'THE PRESENT'.    

MR FUNCTION

#6 Posted 9:23pm 21-01-10  

Re:    very tough integral ---dare to try this one -----

oh god i was goiin to apply chain rule by mistake.dats y i got sum rong ans.......
Yesterday is HISTORY.Tomorrow is MYSTERY.But TODAY IS A GIFT.That's why it is a called 'THE PRESENT'.    

" ____________

#7 Posted 9:24pm 21-01-10  

Re:    very tough integral ---dare to try this one -----

how do u apply  chain rule in integration
   

" ____________

#8 Posted 9:29pm 21-01-10  

Re:    very tough integral ---dare to try this one -----

any one got this
   

MR FUNCTION

#9 Posted 9:30pm 21-01-10  

Re:    very tough integral ---dare to try this one -----

arrey wahi toh comedy hai..i jst got condused...lol..
Yesterday is HISTORY.Tomorrow is MYSTERY.But TODAY IS A GIFT.That's why it is a called 'THE PRESENT'.    

Aishwarya

#10 Posted 9:33pm 21-01-10  

Re:    very tough integral ---dare to try this one -----

I am getting a very complicated answer here...
||~AiSh~||    

MR FUNCTION

#11 Posted 9:34pm 21-01-10  

Re:    very tough integral ---dare to try this one -----

arrey aishwarya u r gettin an ans atleast m nd stuck up hw to break it......
Yesterday is HISTORY.Tomorrow is MYSTERY.But TODAY IS A GIFT.That's why it is a called 'THE PRESENT'.    

Aishwarya

#12 Posted 9:35pm 21-01-10  

Re:    very tough integral ---dare to try this one -----

All right the correct answer is complicated as  well.
http://www.wolframalpha.com/input/?i=integrate+1%2F%28%28a^2+%28sin+x%29^2+%2B+b^2%28cosx%29^2%29%29^2+dx+
but yea ..it is integrable
||~AiSh~||    

~

#13 Posted 04:05am 22-01-10  

Re:    very tough integral ---dare to try this one -----

not quite sure
done it roughly
[im]http://codecogs.izyba.com/gif.latex?\int%20\frac{%281+\tan^2x%29\sec^2dx}{\left%28a^2\tan^2x+b^2%20\right%29^2}%20\\%20\\%20put%20\%20tanx%20=t%20\\%20\int%20\frac{\left%28%201+t^2\right%29.dt}{\left%28%20kt^2%20+1\right%29^2%20}\\%20\int%20\frac{dt}{\left%28%20kt^2%20+1\right%29^2}%20+\int%20\frac{t^2.dt}{\left%28%20kt^2%20+1\right%29^2}\\%20put%20\%20k_2t=z%20\\%20such%20\%20that%20\%20the%20\%20integral%20\%20becomes%20\\%20\int%20k_1\frac{dz}{\left%28%20z^2%20+1\right%29^2}%20+%20k_2\int%20\frac{z^2.dz}{\left%28%20z^2%20+1\right%29^2}\\%20now%20\%20put%20\%20z=\tan\alpha%20\\%20k_1\int%20\cos^2\alpha%20+%20k_2\int%20\sin^2%20\alpha[/im]
   

Nishant

#14 Posted 5:13pm 22-01-10  

Re:    very tough integral ---dare to try this one -----

i think you should use the substitution [sqrt]k[/sqrt] t = z

Otherwise it seems fine.. [1]
-when spring comes, it melts the snow one flake at a time…    

~

#15 Posted 5:16pm 22-01-10  

Re:    very tough integral ---dare to try this one -----

yes bhaiya
i just wanted to write
some constant k such that
kt=z
actually i didnt mean the previous constant k (soryy for dat )
   

" ____________

#16 Posted 10:46am 06-03-10  

Re:    very tough integral ---dare to try this one -----

any diiferent  approach to this question !!????
 Edited on 10:46am 06-03-10    

Tapas

#17 Posted 0:20pm 06-03-10  

Re:    very tough integral ---dare to try this one -----

[image]43358218.jpg[/image]
   

" ____________

#18 Posted 2:26pm 06-03-10  

Re:    very tough integral ---dare to try this one -----

 TAPAS  YAAR   MUJHE  YE

[hide]
 " WOLFRAM MATHEMATICA " [/hide] WAALA  ANSWER NAHI CHAHIYE !

   

eragon24

#19 Posted 2:40pm 06-03-10  

Re:    very tough integral ---dare to try this one -----

one way is to put [im]http://codecogs.izyba.com/gif.latex?asinx=bcosx.tan\theta[/im]

"Last thing I remember, I was running for the door; I had to find the passage back to the place I was before; 'Relax' said the night man, 'We are programed to receive'; 'You can check out any time you like, but you can never leave'_ ®    
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