MY CART (5)

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price:

There are no items in this cart.
Continue Shopping
                   

the value of integrand limit [0 to [x]] {x-[x]}dx (where [.] denotes greatest integer function.

3 years ago

Share

Answers : (2)

                                        

Arun Kumar
IIT Delhi
Askiitians Faculty
11 months ago
                                        
x-[x] is periodic with period 1. therefore, ?0[x]x-[x] dx = [x]?01x-[x] dx =[x]/2
we can get integral of x-[x] within limits 0 and 1 using method of areas as ½.
Therefore the answer is [x]/2
11 months ago

Post Your Answer

More Questions On Integral Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
integrate the following integral ∫ cos^4 (2x) dx
 
 
Ans: Hello Student, Please find answer to your question below
  img
Jitender Singh 8 months ago
 
i=∫cos 4 x i=∫ cos4x+1/2> 2 i=1/4×∫1+cos 2 4x+2cos4x i=1x/4 +1/4 i=1/2
 
pavansai 7 months ago
∫cos(2 cot-1​​{ root(1-x/1+x)} = ????
 
 
Ans: Hello Student, Please find answer to your question below
  img
Jitender Singh 7 months ago
Plz. and this ques....
 
 
Hii the answer is -0.151697 . Use by parts and then apply the substitution to get to the answer. Thanks
  img
Sourabh Singh 5 months ago
 
ya substitution was sinX = t
 
Nihal Raj 5 months ago
if angle A=90 2[r+R]=?
 
 
Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 9 months ago
 
Amazing sir :) Thanks
 
Leo Pixie 9 months ago
answer plz
 
 
  img
Saurabh Kumar 7 days ago
find dy/dx when y= s in^-1(2^(x+1)/ 1+ (4)^x)
 
 
Ans: Hello Student, Please find answer to your question below Using the chain rule
  img
Jitender Singh 8 months ago
View all Questions »