Home
Class 12
MATHS
int0^1000 e^(x-[x])dx...

`int_0^1000 e^(x-[x])dx`

A

`(e^(1000)-1)/(1000)`

B

`(e^(1000)-1)/(e-1)`

C

`1000(e-1)`

D

`(e-1)/(1000)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Objective Type Questions (More than one answer)|32 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Linked Comprehension Type Questions|11 Videos

  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Competition level Questions|80 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section - J (Aakash Challengers Questions)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - J)(ANKASH CHALLENGERS QUESTIONS)|4 Videos

Similar Questions

Explore conceptually related problems

The value of int_(0)^(100) e^(x-[x])dx , is

The value of sum_(n=1)^1000 int_(n-1)^n e^(x-[x])dx , where [x] is the greatest integer function, is (A) (e^1000-1)/1000 (B) (e-1)/1000 (C) (e^1000-1)/(e-1) (D) 1000(e-1)

int_0^1 e^(2-3x)dx

int_0^1 e^x dx

The value of int_0^1e^(x^2-x)dx is (a) 1 (c) > e^(-1/4) (d)

The value of int_0^1e^(x^2-x) dx is (a) 1 (c) > e^(-1/4) (d) < e^(-1/4)

Evaluate the definite integrals int_0^1x e^(x^2)dx

int_0^2 e^(x/2) dx

int_0^1 x^2 e^(2x) dx

If int_0^1e^ (-x^2) dx=a , then find the value of int_0^1x^2e^ (-x^2) dx in terms of a .

AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (Only one answer)
  1. Let f(x)=int(0)^(x)(sin^(100)t)/(sin^(100)t+cos^(100)t)dt, then f(2pi)...

    Text Solution

    |

  2. int(0)^(pi)(x.sin^(2)x.cosx)dx is equal to

    Text Solution

    |

  3. int0^1000 e^(x-[x])dx

    Text Solution

    |

  4. The value of the definite integral int(19)^37((x)^2+3(sin2pix))dx wher...

    Text Solution

    |

  5. If l(n)=int(0)^((pi)/(4)) tan^(n) xdx show that (1)/(l(2)+l(4)),(1)/(l...

    Text Solution

    |

  6. The value of ("lim")(n rarr oo)sum(r=1)^(4n)(sqrt(n))/(sqrt(r)(3sqrt(r...

    Text Solution

    |

  7. underset(kto0) lim1/kint0^k(1+sin2x)^(1/x)dx

    Text Solution

    |

  8. Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...

    Text Solution

    |

  9. Suppose that F(x) is an anti-derivative of f(x)=(sinx)/x ,w h e r ex >...

    Text Solution

    |

  10. If f(x)=[{:(sqrt(1-x), , , 0 le x le 1),((7x-6)^(-1) , , ,1 le x le 2)...

    Text Solution

    |

  11. If f:RrarrR defined by f(x)=sinx+x, then find the value of int0^pi(f^-...

    Text Solution

    |

  12. The value of int0^100 [tan^-1 x]dx is, (where [*] denotes greatest in...

    Text Solution

    |

  13. Iff(x)={0,w h e r ex=n/(n+1),n=1,2,31,e l s e w h e r e t h e nt h ev...

    Text Solution

    |

  14. Let g(x) be a continous and differentiable function such that int(0...

    Text Solution

    |

  15. Let d/(dx)F(x)=(e^(sinx))/x . x lt0. If int(1)^(4)(2e^(sinx^(2)))/xdx=...

    Text Solution

    |

  16. f:(0,infty)rarrR and F(x)=int(0)^(x)t f(t)dt If F(x^(2))=x^(4)+x^(5)...

    Text Solution

    |

  17. int(-pi//4) ^(pi//4) x^(3) sin^(4) xdx=

    Text Solution

    |

  18. The value of int(-10)^(10)[{f(f(x)}+{f(f((1)/(x))}]dx, where f(x)=(1-x...

    Text Solution

    |

  19. The value of int(-2)^(2)(ax^(2011)+bx^(2001)+c)dx, where a, b, c are c...

    Text Solution

    |

  20. If for non zero x, 3f(x)+4f((1)/(x))=(1)/(x)-10, then the value of int...

    Text Solution

    |