Home
Class 12
MATHS
The value of the integral int(-1)^(1) (x...

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

A

1

B

0

C

2

D

4

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 2|60 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Exercise|147 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

Let [x] denote the greatest integer less than or equal to x, then the value of the integral int_(-1)^(1)(|x|-2[x])dx is equal to

The value of the integral int_(1)^(3)|(x-1)(x-2)|dx is

The value of the integral int_(0)^(1) x(1-x)^(n)dx , is

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

The value of definite integral int_(-1)^(1)(7-(2x-1)dx is equal to

The value of the integral I=int_(1)^(oo) (x^(2)-2)/(x^(3)sqrt(x^(2)-1))dx , is

The value of the integral int_(-1)^(1) sin^(11)x" dx" is

If the value of the integral int_(1)^(2)e^(x^(2))dx is alpha, then the value of int_(e)^(e^(4))sqrt(ln x)dx is:

OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Chapter Test 1
  1. Let I(n)=int(0)^(pi//2) sin^(n)x dx, nin N. Then

    Text Solution

    |

  2. If f(x)=int(0)^(x) sin^(4)t dt, then f(x+2pi) is equal to

    Text Solution

    |

  3. int(0)^(pi) (1)/(1+3^(cosx)) dx is equal to

    Text Solution

    |

  4. Let int(0)^(a) f(x)dx=lambda and int(0)^(a) f(2a-x)dx=mu. Then, int(...

    Text Solution

    |

  5. The value of int(pi//4)^(3pi//4) (x)/(1+sin x) dx is equal to

    Text Solution

    |

  6. Let I(n)=int(0)^(pi//2) cos^(n)x cos nx dx. Then, I(n):I(n+1) is equal...

    Text Solution

    |

  7. The value of int(-1)^(1) max[2-x,2,1+x] dx is

    Text Solution

    |

  8. int(0)^(pi//4) sin(x-[x]) dx is equalto

    Text Solution

    |

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

    Text Solution

    |

  10. Let f:R in R be a continuous function such that f(1)=2. If lim(x to 1)...

    Text Solution

    |

  11. Let f:R in R be a continuous function such that f(x) is not identicall...

    Text Solution

    |

  12. Let f(x)=int(0)^(x) |xx-2|dx, ge 0. Then, f'(x) is

    Text Solution

    |

  13. Lt(nrarroo) {(n!)/(kn)^n}^(1/n), k!=0, is equal to (A) k/e (B) e/k (C)...

    Text Solution

    |

  14. Let f(x) be an integrable function defined on [a,b],b gt a gt 0. If I(...

    Text Solution

    |

  15. int(0)^(sqrt(2)) [x^(2)]dx, is

    Text Solution

    |

  16. Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1 and g(x) be a...

    Text Solution

    |

  17. (sum(n=1)^10int(-2n-1)^(-2n)sin^(27)(x)dx+sum(n=1)^10int(2n)^(2n+1)sin...

    Text Solution

    |

  18. If f(y)=e^(y)=e^(y),g(y)=y, y gt 0 and F(t)=int(0)^(t) f(t-y)g(y) dy, ...

    Text Solution

    |

  19. If I(n)=int(0)^(pi//2) x^(n) sin x dx, then I(4)+12I(2) is equal to\

    Text Solution

    |

  20. int(0)^(1) sin{2 tan^(-1)sqrt((1+x)/(1-x))}dx=

    Text Solution

    |