Home
Class 12
MATHS
The value of integral int(-2)^(4) x[x]dx...

The value of integral `int_(-2)^(4) x[x]dx` is

A

`41//2`

B

20

C

`21//2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 1|60 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 2|60 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

The value of the integral int_(0)^(2)x[x]dx

The value of integral int_(2)^(4)(dx)/(x) is :-

The value of the integral int_(-1)^(1) (x-[2x]) dx,is

The value of integrals int_(-2)^(2)max {x+|x|, x-[x]}dx where [.] represents the greatest integer function is

The value of the integral int_(-5)^5 (x-[x]) dx is

The value of integral int_(a)^(b)(|x|)/(x)dx , a lt b is :

The value of the integral int_(2)^(4) (sqrt(x^(2)-4))/(x^(4))dx is

The value of integral int_(-1)^(1) (|x+2|)/(x+2)dx is

The value of the integral int_(-a)^(a) (xe^(x^(2)))/(1+x^(2))dx is

The value of the integral int _(-a)^(a) (xe^(x^(2)))/(1+x^(2)) dx is

OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. If I(1)=int(3pi)^(0) f(cos^(2)x)dx and I(2)=int(pi)^(0) f(cos^(2)x) th...

    Text Solution

    |

  2. If f(x) is a quadratic polynomial in x such that 6int0^1 f(x)dx-{f(0...

    Text Solution

    |

  3. The value of integral int(-2)^(4) x[x]dx is

    Text Solution

    |

  4. If h(a)=h(b), the value of the integral inta^b [f(g(h(x))]^(-1)f'(g...

    Text Solution

    |

  5. If F(x)=(1)/(x^(2))int(4)^(x) [4t^(2)-2F'(t)]dt then F'(4) equals

    Text Solution

    |

  6. If f(x) is an odd function defined on [-T//2,T//2] and has period T, t...

    Text Solution

    |

  7. If for every integer n, int(n)^(n+1) f(x)dx=n^(2), then the value of ...

    Text Solution

    |

  8. int(-pi+4)^(pi//4) (tan^(2)x)/(1+a^(x))dx is equal to

    Text Solution

    |

  9. The value of int(0)^(pi//2) cosec(x-pi//3)cosec(x-pi//6)dx is

    Text Solution

    |

  10. The value of int(-1)^(1) x|x|dx, is

    Text Solution

    |

  11. int0^3 |x^(3)+x^(2)+3x|dx is equal to

    Text Solution

    |

  12. The value of the integral int(0)^(3) (dx)/(sqrt(x+1)+sqrt(5x+1)) is

    Text Solution

    |

  13. int(1)^(-1) (x^(3)+|x|+1)/(x^(2)+2|x|+1)dxis equal to

    Text Solution

    |

  14. int(-pi/2)^(pi//2) log(e ){((ax^(2)+bx+c)/(ax^(2)-bx+c))(a+b)|sinx|}dx...

    Text Solution

    |

  15. For any natural number n, the value of the integral int(0)^(sqrt(n))...

    Text Solution

    |

  16. For any n in R^(+), the value of the integral int(0)^(n[x]) (x-[x])d...

    Text Solution

    |

  17. If phi'(x)=(log(e )|sin x|)/(x),x ne pi,n in Z and int(1)^(3) (3log(...

    Text Solution

    |

  18. The equation int(-pi//4)^(pi//4) {a|sin x|+(b sin x)/(1+cos x)+c}dx=...

    Text Solution

    |

  19. Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x i...

    Text Solution

    |

  20. The value of int(alpha)^(beta) x|x|dx, where a lt 0 lt beta, is

    Text Solution

    |