Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 320 off


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

4 years ago


Answers : (2)


Arun Kumar
IIT Delhi
Askiitians Faculty
2 years 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
2 years ago

Post Your Answer

Other Related Questions on Integral Calculus

the area enclosed by the region 2|x|+3|y|
Take the cases and solve it: Casse 1: when x > 0 2x + |y} = a incomplete qstn. plz provide the R.H.S side component.|
vikas yadav 22 days ago
Pls clarify me that question which propety used i didnt understand
hello anil kumar, please tell me the quetion first.and type clearly the quetion..............................................................................
raj 2 months ago
Sir please answer and specify the reason.
∫ nx n-1 /(1+x). dx = (∫ n.x n-1 .dx)/(1+x) | 0 1 – ∫ (∫n.x n-1 .dx).d /dx (1 /(1+x) ), using recerse chain rule for integration. ∫ n.x n-1 .dx = x n and d /dx (1 /(1+x) ) = -1 /(1+x) 2 ,...
Akshay 11 months ago
If f(x)=cos2x+sin4xsin2x+cos4x for x∈R, then f(2002)=
the answer is retyuyrfuyfhhfvheyfyytgftuerwyfy====================================================the answer is=====1.45
Gowri sankar 5 months ago
raju 9 months ago
Dear sir/ma'am Please answer my questions.
okay that is
surya one year ago
surya one year ago
What is fibonachi sequence? give one example. who was discovered this sequence?
The Fibonacci sequence is a series of numbers where a number is found by adding up the two numbers before it. Starting with 0 and 1, the sequence goes 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and...
KALYAN 6 months ago
Mr Sivagiri Guravaiah Fibonacci sequence is the series of numbers this is useful in many real applications in the series the number is found by adding before two numbers...
Prabhakar ch 5 months ago
Hello GUravaiah The Fibonacci Sequence is the series of numbers : 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... The next number is found by adding up the two numbers before it. The 2 is found by...
Gaddam Chethan 5 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,000 off

Get extra R 320 off

More Questions On Integral Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details