sign up I login
 advanced
refer a friend - earn nickels!!

Ask & Discuss Questions with Community & Experts

Moderation Team
 90 chars left    advanced
Ask iit jee aieee pet cbse icse state board experts Expert Question: integral having greatest integer function.
Forum Index -> Integral Calculus like the article? email it to a friend.  
Author Message
subhashree (0)

New kid on the Block

Olaaa!! Perrrfect answer. 0  [0 rates]

subhashree's Avatar

total posts: 5    
offline Offline
integral -10 to 10 of cosx/{[2x/(2n+1)] +1/2 } = ?
    
amar.gupta (583)

Forum Expert Blazing goIITian

Olaaa!! Perrrfect answer. 101  [140 rates]

amar.gupta's Avatar

total posts: 353    
offline Offline
Dear,
 
cosx/{[2x/(2n+1)] +1/2 } can be written as
 
2(2n+1) cosx/[4x+(2n+1)]
 
now [4x+(2n+1)]=t
 
you will get the form cos({t/4}-A)/t  where A=(2n+1)/4
 
expand the cos as cos(C+D) = cosC.cosD-sinCsinD
 
and i think now you can solve the further , ask if doubt any.
 
 
 this reply: 0 points  (with Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
 
Forum Index -> Integral Calculus
Go to:   

Top Offers for goIITians
Correspondence Courses
Brilliant Tutorials
Narayana Institute
Aakash Institute
Classroom/Crash Courses
Narayana - Kota , Delhi , Others
Brilliant Tutorials - Class , Crash
Aakash Institute - Medical , Engg
Online Test Series
Brilliant Tutorials
Narayana Institute
Aakash Institute
Mahesh Tutorials
AMITY      Sri Chaitanya