have a look at it
http://targetiit.com/iit_jee_forum/posts/important_information_2774.html
o∫pi/2 dx/ √1-ksin2x
yeh pleeeeeeeeeez koi banao ....
kal poori saat nahi so payee theek se.. iske chalte...
have bcome dumb in integration i think :( :(
have a look at it
http://targetiit.com/iit_jee_forum/posts/important_information_2774.html
SKY
NOW HAVE A LOOK AT THE QUES AGAIN
O AM UP WITH IT
I AM UNABLE TO FIND A METHOD OF INTEGRATING IT BY ANY MEANS
BUT WAIT IT IS DEFINITE INTEGRATION AND THE AREA CAN BE FOUND OUT
FOR IT K SHOULD BE MENTIONED
cant we do
by
0∫pi/2dx/√1-ksin2x=0∫pi/2dx√1-kcos2x
take I=0∫pi/2dx/√1-ksin2x
2I= 0∫pi/2dx/√1-ksin2x+0∫pi/2dx√1-kcos2x
Try this manner tell me if ur getting........
well take the 1 as cos2x + sin2x
then it reduces to
0∫π/2 1 / √cos2x + (k-1)sin2x
then by properties .
we get
2I = 0∫∫π/2 1 / √(sin2x + (k-1)cos2x ) ( cos2x + (k-1) sin2x )
then well divide Nr and Dr by cos2x then this should be over hopefully. is this ok ?
manipal and terminator...
very sorry dears :(
i dunno if u all can do it that way ...
but i had tried it all possible 'known' ways....
and i have given up!
it is NOT IN THE SYLLABUS!!!
@skygirl: are you sure the qn needs you to integrate the function. Or are they aksing something else (like its increasing or decreasing??)
MAKE IT OF FORM∫dx/1-(x) =(sin)-1 (x) so answer is (sin)-1 √k
arey ... may be i also think its not in syll ...
woh ... ek friend ne banane ko kaha tha...
she is in iit,kgp...they r having mid-sem....so asked to try...
mereko dekhke lega asaan hai... par :'( :'(
hey sky this seems to be legendre's integral or something like dat....its not in the syllabus ....
well manipal... uske agey banao na bhai !
yeh toh mujhe question milne ke 3 min baad hi mil gaya tha ....
my doubt is iske agey ....
@SKY EDITING REQUIRED IN POST NO......29.......K CAN BE NEGATIVE......
nishant bhaiya pink this one .....this is real life experience(very precious one) or green this one....something higher than pinks....:)
remember one principle whenever u feel sleepy just go to sleep....it will never b a waste of time........
arey ... main bahut galat-salat bak rahi hun... pat nahi....
sone jati hun... kal nahi soyi thi....
raat ko dekhte hain....
sorry for confusing.....sky......we can discuss its monotonicity...as our answer will contain k......and i m getting its increasing.....
areyyyyyyy!!! main sahi hi hoon ... i think...
its f(k) not f(x) !!!!!!!!!!!!
ya but here k is variable ...i misinterpreted prophet's words.....and it will be increasing in the given interval.........................................................................................................................................................................................................