Home
Class 12
MATHS
If [x] denotes the greatest integer less...

If `[x]` denotes the greatest integer less than or equal to `x ,` then find the value of the integral `int_0^2x^2[x]dxdot`

A

`5/3`

B

`7/3`

C

`8/3`

D

`4/3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If for all real numbers y ,[y] is the greatest integer less than or equal to y , then the value of the integral int_(pi//2)^(3pi//2)[2sin x]dx is

Let [x] denote the greatest integer less than or equal to x. If x=(sqrt3 + 1)^5, then [x] is equal to

the value of integral int_0^2 (log(x^2+2))/(x+2)^2dx is

Find [2.75], if [x] denotes greatest integer not greater than x ?

int_(0)^((pi)/2)(x-[cosx])dx= (where [t]= greatest integer less or equal to t )

Evaluate the following definite integrals: \int_{0}^(pi) x sin^2 x dx