Home
Class 12
MATHS
int (0) ^(pi//4) sin (x- [x])d (x-[x]) i...

`int _(0) ^(pi//4) sin (x- [x])d (x-[x])` is equal to

A

`1/2`

B

`1-1/(sqrt(2))`

C

`1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise EVALUATIO TEST|30 Videos

  • DEFINITE INTEGRALS

    TARGET PUBLICATION|Exercise CRITICAL THINKING|115 Videos

  • CONTINUITY

    TARGET PUBLICATION|Exercise Evaluation Test|10 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//4)"sin" x d(x- [x]) is equal to , where [x] denotes greatest integer function-

int_(0)^( pi/4)(sin x-cos x)dx

int_(0)^(pi//4)e^(x)sin x dx =

int_(0)^(pi//4) (sin x +cos x)/(3+sin2x)dx is equal to

int_(0)^(pi//4) sin(x-[x]) dx is equalto

int_(0)^(pi)(x sin x)/(1-sin x)dx=

The value of int_(0)^(2pi)[|sin x |+|cos x |] d x is equal to

int_(0)^( pi)(x sin x)/(1+sin x)dx

If int_(0)^(pi) x f (sin x) dx = A int _(0)^(pi//2) f(sin x) dx , then A is equal to

If A= int _(0)^(pi) (sin x)/(x ^(2))dx, then int _(0)^(pi//2) (cos 2 x )/(x) dt is equal to:

TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
  1. int(0)^(1) (dx)/(e^(x) +e^(-x)) dx is equal to

    Text Solution

    |

  2. 3a int(0)^(1) ((ax-1)/(a-1))^(2) dx is equal to

    Text Solution

    |

  3. int (0) ^(pi//4) sin (x- [x])d (x-[x]) is equal to

    Text Solution

    |

  4. The function L(x)=int(1)^(x)(dt)/t satisfies the equation

    Text Solution

    |

  5. If overset(b)underset(a)int {f(x)-3x}dx=a^(2)-b^(2), then the value of...

    Text Solution

    |

  6. The value of the integral l = int(0)^(1) x(1-x)^(n) dx is

    Text Solution

    |

  7. int(0)^(pi//4)(cosx-sinx)dx+int(pi//4)^(5pi//4)(sinx-cosx)dx+int(2pi)^...

    Text Solution

    |

  8. Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int1^4 3/x e^s in x^3dx=F(k)-...

    Text Solution

    |

  9. Suppose that F (x) is an antiderivative of f (x)=sinx/x,x>0 , then...

    Text Solution

    |

  10. The value of integral int (1//pi)^(2//pi)(sin(1/x))/(x^(2))dx=

    Text Solution

    |

  11. The value of the integral int(0)^((pi)/4)(sqrt(tanx))/(sinx cos x) dx ...

    Text Solution

    |

  12. If I(n) = int (0)^(pi//4) tan^(n) theta " " d theta, "then "I(8)+I(6)=

    Text Solution

    |

  13. If g(1)=g(2), then int(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(x)dx is equal to

    Text Solution

    |

  14. If int(0)^(k)(dx)/(2+18x^(2))=(pi)/(24), then the value of k is

    Text Solution

    |

  15. int(-1)^(0) (dx)/(x^(2) + 2x + 2 ) is equal to

    Text Solution

    |

  16. The value of int(0)^(1)(x^(2))/(1+x^(2))dx is

    Text Solution

    |

  17. The value of int0^1 (x^4+1)/(x^2+1)dx is

    Text Solution

    |

  18. int (0)^(3) (3x+1)/(x^(2)+9) dx =

    Text Solution

    |

  19. The value of int0^1(x^4(1-x)^4)/(1+x^2)\ dx is

    Text Solution

    |

  20. int0^1sqrt((1-x)/(1+x))dx

    Text Solution

    |