Home
Class 12
MATHS
int(0)^(oo)[2e^(-x)] dx. Where [*] denot...

`int_(0)^(oo)[2e^(-x)] dx`. Where `[*]` denotes the greatest integer function, is equal to :

A

`0`

B

`l n 2`

C

`e^(2)`

D

`2e^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 1 Part-III|2 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - 1|30 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 1|31 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

  • DPP

    RESONANCE|Exercise QUESTION|665 Videos

Similar Questions

Explore conceptually related problems

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

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

int_(0)^(oo)[2e^(-x)]dx , where [.] deontes greatest integer function, is equal to

rArrint_(0)^(oo) [(2)/(e^(x))]dx (where [*] denotes the greatest integer function) equals

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

int_(0)^(oo)[(3)/(x^(2)+1)]dx, where [.] denotes the greatest integer function,is equal to (A)sqrt(2) (B) sqrt(2)+1(C)(3)/(sqrt(2))(D) infinite

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

int_(0)^(pi)[cotx]dx, where [.] denotes the greatest integer function, is equal to

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

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 1 Part-II
  1. int(0)^(pi)|1+2cosx| dx is equal to :

    Text Solution

    |

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

    Text Solution

    |

  3. int(0)^(oo)[2e^(-x)] dx. Where [*] denotes the greatest integer funct...

    Text Solution

    |

  4. int(lnpi-ln2)^(lnpi) (e^(-x))/(1-cos(2/3e^(x))) dx is equal to

    Text Solution

    |

  5. If I(1)=int(n)^(e^(2))(dx)/(lnx) and I(2) = int(1)^(2)(e^(x))/(x) dx(1...

    Text Solution

    |

  6. int(0)^(pi//4)(x.sinx)/(cos^(3)x) dx equal to :

    Text Solution

    |

  7. The value if definite integral int(3/2)^(9/4)[sqrt(2x-sqrt(5(4x-5)))+s...

    Text Solution

    |

  8. If int(ln2)^(x)(dx)/(sqrt(e^(x)-1))= (pi)/(6), then x is equal to

    Text Solution

    |

  9. int(0)^(oo)(x^(2)+1)/(x^(4)+7x^(2)+1)dx=

    Text Solution

    |

  10. Suppose for every integer n, .int(n)^(n+1) f(x)dx = n^(2). The value o...

    Text Solution

    |

  11. If f(x) and g(x) are continuous functions, then int(In lamda)^(In (1//...

    Text Solution

    |

  12. int- 1^1cot^(- 1)((x+x^3)/(1+x^4))dx

    Text Solution

    |

  13. int(2)^(0){x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)} dx is equal to

    Text Solution

    |

  14. int(-1)^(1)xln(1+e^(x))dx=

    Text Solution

    |

  15. If int(-1)^(3//2)|xsinpix|dx = (k)/(pi^(2)), then the value of k is :

    Text Solution

    |

  16. The value of definite integral int0^(pi^2/4) dx/(1+sin^2 sqrtx+ cos^2 ...

    Text Solution

    |

  17. int(2-ln3)^(3+ln3)(ln(4+x))/(ln(4+x)+ln(9-x))dx is equal to :

    Text Solution

    |

  18. The value of the definite integral l = int(0)^(x)xsqrt(1+|cosx|) dx is...

    Text Solution

    |

  19. The value of int(0)^(pi//2)ln|tanx+cotx| dx is equal to :

    Text Solution

    |

  20. If I1=int0^1(e^x)/(1+x) dxaand I2=int0^1 x^2/(e^(x^3)(2-x^3)) dx then ...

    Text Solution

    |