Home
Class 12
MATHS
The value of integral part of int (0) ...

The value of integral part of
`int _(0) ^(2) [ x ^(2) -x +1] dx ` is : (where [.] denotes greatest integer function)

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 47

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos
  • NTA TPC JEE MAIN TEST 49

    NTA MOCK TESTS|Exercise MATHEMATICS |30 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(4)x [x] dx= ( where [.] denotes greatest integer function

int _(0)^(2) x ^(3) [1+ cos ""(pix)/(2)] dx is (where [**] denotes the greatest integer function)

The value of int_(0)^(2)[x^(2)-x+1] dx (where , [.] denotes the greatest integer function ) is equal to

The value of int_(0)^(100)[tan^(-1)x]dx is,(where [^(*)] denotes greatest integer function)

The value of I = int_(-1)^(1)[x sin(pix)]dx is (where [.] denotes the greatest integer function)

The value of int_(0)^(100)[ tan ^(-1)x] d x is equal to (where [.] denotes the greatest integer function)

The value of int_(0)^(2)[x^(2)-x+1]dx (where,[*] denotes the greatest integer function) is equal to

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 48-MATHEMATICS
  1. The coordinates of the point on the parabola y ^(2) = 8x, which is at ...

    Text Solution

    |

  2. The angle between the tangents to the curve y = x ^(2) - 5x + 6 at poi...

    Text Solution

    |

  3. If a plane passes through the point (1,1,1) and is perpendicular to th...

    Text Solution

    |

  4. If vecr = hati + hatj + hatk and vecr (1) ( a hati + b hatj+ c hatk) w...

    Text Solution

    |

  5. Let f : R to R be a differentiable function such that f (1) =1 , f (...

    Text Solution

    |

  6. If f (x) = max { sin x , sin ^(-1) (cos x )}, then

    Text Solution

    |

  7. Let y = f (x) be function satisfying the differential equation x (dy...

    Text Solution

    |

  8. If int ( 2 cos x + 3 sin x )/( 3 cos x + 4 sin x ) dx = Ax + B ln | ...

    Text Solution

    |

  9. A ladder rests against a wall at an acute angle alpha to the horizont...

    Text Solution

    |

  10. If latus rectum of the ellipse x ^(2) tan ^(2) alpha + y ^(2) sec ^(2)...

    Text Solution

    |

  11. Let f (alpha ) = sin ^(-1) (sin alpha ) + cos ^(-1) ( cosalpha ) and...

    Text Solution

    |

  12. Let p be a matrix of order 3 xx 3 such that all the entries in p are f...

    Text Solution

    |

  13. Find the value of f ^(2) (4) + g ^(2) (4), if f ' (x) = g (x) and g ' ...

    Text Solution

    |

  14. The value of integral part of int (0) ^(2) [ x ^(2) -x +1] dx is : ...

    Text Solution

    |

  15. How many real solutions does the equation 2 sin = x ^(2) = x pi + (pi...

    Text Solution

    |

  16. Let f (x) be a function continuous for all except at x =0 such that ...

    Text Solution

    |

  17. Let f : R to R , y = f (x) be a differentible function satisfying the ...

    Text Solution

    |

  18. Let the set S (n) is defined as follows S (1) = {1} , S (2) = { 2,3,...

    Text Solution

    |

  19. If (d)/(dx) ((1 + x ^(4) + x ^(8))/( 1 + x ^(2) + x ^(4))) = ax ^(3) +...

    Text Solution

    |

  20. Let y be the product of all the divisors of the number 720. If y is di...

    Text Solution

    |