1800 2000 838

CART 0

• 0

MY CART (5)

Use Coupon: CART10 and get 10% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 50% OFF on Online Material.
Use coupon code: MOB50 | View Course list
```                   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
```
one year 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
```
one year 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

 Sourabh Singh 10 months ago

ya substitution was sinX = t

 Nihal Raj 10 months ago
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 11 months ago

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

 Bharat Makkar 11 months ago
Q . LET F 1 AND F 2 ARE THE FOCI OF THE ELLIPSE - 4x 2 + 9y 2 = 36 AND ‘P’ IS A POINT ON THE ELIPSE SUCH THAT - PF 1 = 2PF 2 , THEN THE AREA OF THE TRIANGLE PF 1 F 2 IS ?

Ans: Hello Student, Please find answer to your question below 4x 2 + 9y 2 = 36 By the definition of ellipse, PF 1 + PF 2 = 2a a = 3 PF 1 + PF 2 = 6 PF 1 = 2PF 2 PF 2 = 2 PF 1 = 4 F 1 F 2 can...

 Jitender Singh 11 months ago

sir please answer other problems too.......i have tried them multiple times.......atleast provide the hints

 Bharat Makkar 11 months ago

thank you sir......

 Bharat Makkar 11 months ago
lim x tends to infinity {x-(x 2 +x) 1/2 }

ANSWER -1/2 SOLUTION: lim x tends to infinity {x-(x 2 +x) 1/2 } first solve the algebra by replacing x by 1/t {1/t-(1/t 2 +1/t) ½ } {1/t-(1+t) 1/2 /t} {(1-(1+t)1/2)/t} now rationalise...

 Prince Sharma 4 months ago

then divide the complete expression you will get the answer a 1 hey it will be then divide the complete expression by x and substiture x equals infinity you will get the answer equal to 1...

so sorry we have to rationalise it first then the term of x square will be cancelled then divide the complete expression you will get the answer a 1 approve if useful

x 6 +y 6 =54 find max value of xy

here we can take the value of x=3 ½ y=3 ½ thus we can get the answer as 3

 ng29 4 months ago

its 3

 Aakash 4 months ago
FIND UNIT VECTORS PERPENDICULAR TO THE PLANE DETERMINED BY THE POINTS P(1,-1,2) , Q(2,0,-1) AND R(0,2,1).

The two vectors in the given plane is PQ & PR PQ = (2 – 1) i + (0 + 1) j + (-1 – 2)k = i + j – 3k PR = (0 – 1)i + (2 + 1) j + (1 – 2k = –i + 3j – k The vector perpendicular to PQ & PR is PQ ...

 Y RAJYALAKSHMI one year ago

THANKS!!!!

 Bharat Makkar one year ago
View all Questions »
More Questions On Integral Calculus