1800 2000 838

CART 0

• 0

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

```                                        $\int_{0}^{[x]}x-[x]dx \\=>[x]^2/2-\int_{1}^{2}1dx-\int_{2}^{3}2dx-\int_{3}^{4}3dx..............depends\, value \,of\, [x]$Arun KumarIIT DelhiAskiitians Faculty
```
10 months ago
```                                        x-[x] is periodic with period 1. therefore, ?0[x]x-[x] dx = [x]?01x-[x] dx =[x]/2we can get integral of x-[x] within limits 0 and 1 using method of areas as ½.Therefore the answer is [x]/2
```
10 months ago

More Questions On Integral Calculus

Post Question

Vouchers
To Win!!!
Q . THE AREA ENCLOSED BETWEEN THE CURVES - y = ln ( x + e ) and x = ln ( 1/y ) AND X-AXIS.

Ans: Hello Student, Please find answer to your question below Intersect x-axis at (1-e, 0) & y-axis at (0, 1) Intersect y-axis at (0, 1). Area A b/w two curves is:

 Jitender Singh 5 months ago

thanks sir......and happy diwali.......

 bharat makkar 5 months ago
5 ∫ 0 (x + 1) dx

integration of x+1 from 0 t0 5 is equal to ((x^2)/2)+x) from 0 to 5 =((5^2)/2+5)-0 =((25/2)+5) =35/2 =17.5

 Miryala Gopalakrishna 5 months ago

Ans:- 5 ∫ 0 (x+1)dx =[(x 2 /2)+x] 0 5 =(25/2)+5 =(25+10)/2 =35/2

 Anusha 5 months ago

Ans: Hello student, Please find answer to your question below [x] is the greatest integer that is less than or equal to x. [x] is 0 if x lies between 0 (included) and 1 (excluded) [x] is 1...

 Jitender Singh 6 months ago
prove that the the perpediculars drawn from the vertices of a triangle on the sides facing them are concurrent.

Hello Student, Please find the proof of this: Let us draw (construct) the straight line GH passing through thepoint C parallel to the triangle side AB. Such a line does exist due to...

 Nishant Vora 6 months ago
|z1+z2| =|z1|+|z2| then argz1-argz2?

Hello Student, Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty

 Arun Kumar 8 months ago

argz1-argz2=arg(z1/z2)

 pavaneswari 5 months ago
IF IAI=2,IBI=3 AND A(VECTOR)-B(VECTOR)=O,THEN- (Ax(Ax(xA(AxB))))=?

Dear student, Thanks for your post. Let vector A is denoted by ‘A’ and vector b is denoted by ‘B’ Given, A – B = 0 Taking cross product with A on both sides of...

 Shobhit Varshney 6 months ago
View all Questions »