Home
Class 12
MATHS
The value of int({[x]})dx where {.} and ...

The value of `int({[x]})dx` where {.} and [.] denotes the fractional part of x and greatest integer function equals

A

0

B

1

C

2

D

-1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|20 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|5 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 5|10 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

The solution set for [x]{x}=1, where {x} and [x] denote fractional part and greatest integer functions, is

The value of int_(0)^(4) {x} dx (where , {.} denotes fractional part of x) is equal to

the value of int_(0)^([x]) dx (where , [.] denotes the greatest integer function)

The sum of all the values of x which satisfy the equation 7{x}=2x+[x], where {.} denotes fractional part function and[..denotes greatest integer function

The value of int_(1)^(2)(x^([x^(2)])+[x^(2)]^(x))dx, where [.] denotes the greatest integer function,is equal to

The value of int_(-1)^(2){2x}dx is (where function 0 denotes fractional part function)

If f(x) = {x} + { x + 1 } + {x + 2 }.........{x + 99), then the value of [f(sqrt2)] is, where (.) denotes fractional part function & [.] denotes the greatest integer function

The value of int_(1)^(4){x}^([x]) dx (where , [.] and {.} denotes the greatest integer and fractional part of x) is equal to

If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional part function and [.] denotes greatest integer function and sgn(x) is a signum function)

he value of 1=int_(0)^(3)([x]+[x+(1)/(3)]+[x+(2)/(3)])dx where [.] denotes the greatest integer function is equal to