Home
Class 12
MATHS
int0^(pi/4)sinxd(x-[x]) is equal to...

`int_0^(pi/4)sinxd(x-[x])` is equal to

A

44198

B

`1-1/sqrt2`

C

1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY & DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|13 Videos

  • DETERMINATES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

Similar Questions

Explore conceptually related problems

[x] denote the greatest integer function. int_(0)^(50)sin{x-[x]pi}dx is equal to-

The value of int_(0)^((pi)/(2))x sin x dx is equal to -

The value of int_(0)^(pi)log sin^(2)x dx is equal to -

int_0^pi (xdx)/(1+sinx) is equal to

int_(-pi/2)^(pi/2) sinabs(x) dx is equal to

int_0^1000 e^(x-[x]) dx is equal to

The value of int_(pi)^(2pi)[ 2 cos x]dx is equal to -

If f(x)=x+sinx , then int_(pi)^(2pi)f^(-1)(x)dx is equal to

int_0^(pi/2) e^x dx is equal to

The value of I = int_0^(pi/4) (tan^(n+1)x)dx + 1/2 int_0^(pi/2) tan^(n-1)(x/2) dx is equal to

PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. ifint0^f(x) tdt=pic os pix then f(4) is equal to

    Text Solution

    |

  2. if In=int0^(pi/4)tan^ntheta.d theta,then n in N,n(I(n-1)+I(n+1)) equal...

    Text Solution

    |

  3. int0^(pi/4)sinxd(x-[x]) is equal to

    Text Solution

    |

  4. The value of int0^(sin^2x)sin^(-1)(sqrtt)dt+int0^(cos^2x)cos^(-1)(sqrt...

    Text Solution

    |

  5. value of underset(nrarrinfty)lim((n !)/n^n)^(1/n),where n inN is equal...

    Text Solution

    |

  6. int(-1)^1 max (2-x,2,1+x)dx is

    Text Solution

    |

  7. The value of int(-1)^2abs([x]-{x})dx where [x] is the greatest integer...

    Text Solution

    |

  8. if I=int0^(1.7)[x^2]dx then I equals

    Text Solution

    |

  9. int(-1)^1(x-abs(2x))dx is equal to

    Text Solution

    |

  10. int0^3(absx+abs(x-1))dxis equal to

    Text Solution

    |

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

    Text Solution

    |

  12. Evaluate: underset(nrarrinfty)lim (1/(n+1)+1/(n+2)+....+1/(2n))

    Text Solution

    |

  13. The value of int 0^(2npi)[sin x+cosx]dx is equal to

    Text Solution

    |

  14. the value ofint (pi/2)^(3pi/2)[2sinx]dx, is [.] greatest integer funct...

    Text Solution

    |

  15. ifint0^1 f(x)dx=1,int0^1 xf(x)dx=a and int0^1 x^2f(x)dx=a^2 ,then int0...

    Text Solution

    |

  16. if f(x)=-int0^xlog(cost)dt, then the value of f(x)-2f(pi/4+x/2)+2f(pi/...

    Text Solution

    |

  17. if int0^(pi)(x/(1+sinx))^2dx=A, then int0^(pi)((2x^2).(cos^2(x/2)))/(1...

    Text Solution

    |

  18. If intsin^4x/(cos^8x)dx= atan^7x+btan^5x+c then find the relation betw...

    Text Solution

    |

  19. The value of x satisfying int0^(2[x+14]){x/2}dx=int0^({x})[x+14]dxis e...

    Text Solution

    |

  20. if ngt1and I=int0^infty dx/((x+sqrt(1+x^2))^n then I equals

    Text Solution

    |