Ans . ---
- [ sin 4 / 3 ( x ) ] cos ( x ) 2 F 1 [ 1 / 3 , 1 / 2 , 3 / 2 , cos 2 ( x ) ]sin 2 ( x 2 / 3 )
I hope my answer is wrong :( .
By the way , 2 F 1 ( a , b , c , x ) is the Gauss 's hypergeometric series .
Ans . ---
- [ sin 4 / 3 ( x ) ] cos ( x ) 2 F 1 [ 1 / 3 , 1 / 2 , 3 / 2 , cos 2 ( x ) ]sin 2 ( x 2 / 3 )
I hope my answer is wrong :( .
By the way , 2 F 1 ( a , b , c , x ) is the Gauss 's hypergeometric series .
YUP! DIS ISN'T DA ANS!!!!
BY DA WAY, HOW DID U GET DA ANS???PLZ XPLAIN!
& wat's dat "Gauss's hypergeometric series"?
Kaju , I think it is the ans. as I checked it in Wolphram Alpha just now
though it is something I shouldn't have done at any cost
As far as Hypergeometric series is concerned , you can check it out in wikipedia .
Well I hate to admit it but these type of integrations cannot be solved without having a very , very , very complex and sound knowledge of certain very very complex things . Also , I just remember this sort of integrations , but I certainly cannot compute it .
OK.....BUt Thanx 4 da ans coz Aftr-al Dat is wat reqd 4 COMPETETATIVES.......(juss kidding!!)
http://www.targetiit.com/iit-jee-forum/posts/toughest-integral-16004.html This may help .