Home
Class 12
MATHS
the value of int0^1 e^(2x-[2x]) d(x-[x])...

the value of `int_0^1 e^(2x-[2x]) d(x-[x])`

A

`(e-1)`

B

`(e+1)`

C

`(2e-1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    FIITJEE|Exercise EXERCISE 1:|4 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise EXERCISE 2:|3 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|12 Videos

  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

Find the value of : int_(0)^(10)e^(2x-[2x])d(x-[x]) where [.] denotes the greatest integer function).

What is the value of int_0^1 (x-1) e^(-x) dx

Evaluate int_0^1 e^(2x) dx

int_0^1 x^2e^xdx

int_0^5e^(-2x)dx

The value of int_0^1 e^(x^2) x dx is equal to:

The value of int_(0)^(1)e^(x^(2)-x)dx is (a) 1(c)>e^(-(1)/(4))(d)

The value of int_0^1 (2^(2x+1)-5^(2x-1))/(10^(x))dx is

The value of int_0^1tan^(-1)((2x-1)/(1+x-x^2))dx ,\ is 1 b. -1 c. 0 d. pi//4

FIITJEE-DEFINITE INTEGRAL -SOLVED PROBLEMS (OBJECTIVE)
  1. int(0)^(pi)(1)/(a^(2)-2acosx+1)dx,agt1 is equal to

    Text Solution

    |

  2. If f:RrarrR,f(x) is a differentiable function such that (f(x))^(2)=e...

    Text Solution

    |

  3. If 1=int0^(pi/2)(dx)/(sqrt(1+sin^3x)) then

    Text Solution

    |

  4. Let f(x)=int(2)^(x)f(t^(2)-3t+4)dt. Then

    Text Solution

    |

  5. If f(x)=int(x)^(x^(2))(dt)/((logt)^(2)),xne0 then f(x) is

    Text Solution

    |

  6. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  7. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  8. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  9. The value of the integral int(0)^(npi+v)|sinx|dx" where "ninNand0levle...

    Text Solution

    |

  10. the value of int0^1 e^(2x-[2x]) d(x-[x])

    Text Solution

    |

  11. If f(x)=int1^x(lnt)/(1+t)dt, then

    Text Solution

    |

  12. If int(0)^(x^(2)(1+x))f(t)dt=x, then the value of 25f(2) must be.

    Text Solution

    |

  13. If (pi)/(2)ltalphalt(2pi)/(3)andl=int(0)^(sin2alpha)(dx)/(sqrt(4cos^(2...

    Text Solution

    |

  14. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

    Text Solution

    |

  15. If I(n)=int(0)^(1)(1+x+x^(2)+....+x^(n-1))(1+3x+5x^(2)+....+(2n-3)x^(n...

    Text Solution

    |

  16. Match the following:

    Text Solution

    |

  17. int(0)^(oo)e^(-x^(2))dx=(sqrtpi)/(2) then

    Text Solution

    |

  18. Which of the following is correct combination?

    Text Solution

    |

  19. Which of the following is correct combination?

    Text Solution

    |

  20. Which of the following is not correct combination?

    Text Solution

    |