Home
Class 12
MATHS
The value of int(-2)^1([x]+|x-3|)dx is (...

The value of `int_(-2)^1([x]+|x-3|)dx` is (where [.] denotes greatest integer function) `(15)/2` (2) `5/2` (3) `(13)/2` (4) `9/2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

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

Evaluate int_(-2)^(4)x[x]dx where [.] denotes the greatest integer function.

The value of int_(-2)^1 [x[1+cos((pix)/2)]+1] dx, where [.] denotes greatest integer function is

int_(-1)^(41//2)e^(2x-[2x])dx , where [*] denotes the greatest integer function.

The value of int_-1^10 sgn (x -[x])dx is equal to (where, [:] denotes the greatest integer function

The value of int_(-1)^(3){|x-2|+[x]} dx , where [.] denotes the greatest integer function, is equal to

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

The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greatest integer function):

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. "If" I=int0^x(t^2dt)/((x-sinx)sqrt(a+t))a n d(lim)(xvec0)I=1, then ...

    Text Solution

    |

  2. The value of int5^(10)(sqrt(x+sqrt(20 x-100))+sqrt(x-sqrt(20 x-100)))d...

    Text Solution

    |

  3. The value of int(-2)^1([x]+|x-3|)dx is (where [.] denotes greatest int...

    Text Solution

    |

  4. If z1,z2,z3,z4 be the vertices of a quadrilaterla taken in order such ...

    Text Solution

    |

  5. If the value of the definite integral int ^(-1) ^(1) cos ^(-1) ((1)/(s...

    Text Solution

    |

  6. The real value of k so that the lines x+k y+2=0 3x+2y+1=0 2x+y+2=0" ...

    Text Solution

    |

  7. If 9(27)^(x^2+y+z)+9(27)^(x+y+z^2)+9(27)^(x+y^2+z)=11 then find the nu...

    Text Solution

    |

  8. 2sin^(2)theta + 3 costheta =0

    Text Solution

    |

  9. Evaluate: int(dx)/((x+1)sqrt(1+x-x^(2))

    Text Solution

    |

  10. Two complex numbers z1a n dz2 have relation R such that z1Rz2, arg(z1...

    Text Solution

    |

  11. Let f(x) be a non-constant twice differentiable function defined on (-...

    Text Solution

    |

  12. Consider quadratic equations x^(2)-ax+b=0……….(i) and x^(2)+px+q=0……….(...

    Text Solution

    |

  13. Number of points where the function f(x)=|x^2-3x+2|+"cos"|x| is not di...

    Text Solution

    |

  14. Let f(x) be an onto function defined from [0, 2] to [3, 5] . hich of...

    Text Solution

    |

  15. int0^(pi/2) sin^3x/(sin^3x+cos^3x)dx

    Text Solution

    |

  16. The value of sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12))...

    Text Solution

    |

  17. A particle moves along the parabola y=x^(2) in the first quadrant in s...

    Text Solution

    |

  18. The area bounded by y=3-|3-x| and y=(6)/(|x+1|) is

    Text Solution

    |

  19. If A B=A ,B A=B then (A+B)^n= (where n in N) (1)(A^2+B^2) (2) (A+B)...

    Text Solution

    |

  20. If sum(i=1)^5xi^2=40&sum(j=6)^(10)xj^2=20 and mean of x1,x2, ...,x5 ...

    Text Solution

    |