Home
Class 12
MATHS
The value of the integral int(0)^(pi//2)...

The value of the integral `int_(0)^(pi//2) |sin x-cos x|dx`, is

A

0

B

`2(sqrt(2)-1)`

C

`2sqrt(2)`

D

`2(sqrt(2)+1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 1|60 Videos
  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Chapter Test 2|60 Videos
  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA|Exercise Exercise|86 Videos
  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA|Exercise Exercise|26 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2) x sin x cos x dx

The value of the integral int_(a)^(a+pi/2)(|sin x|+|cos x|)dx, is

The value of the integral int_(a)^(a+pi//2) (|sin x|+|cosx|)dx is

The value of the integral int_(0)^(pi) | sin 2x| dx is

The value of the integral int_(0)^(pi//2) sin^(6) x dx , is

The value of the integral int_(0) ^(pi//2) sin ^3 x dx is :

The value of the integral int _(0)^(pi//2) sin ^(5) x dx is

The value of the integral int_0^(pi/2) (sin^100x-cos^100x)dx is (A) 1/100 (B) (100!)/(100)^100 (C) pi/100 (D) 0

The value of the integral int_(0)^(pi)x log sin x dx is

OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. The value of the integral int(0)^(1)(1)/(x^(2)+2x cos alpha+1)dxis equ...

    Text Solution

    |

  2. The greater value of F(x)=int(1)^(x) |t|dt on the interval [-1//2,1//2...

    Text Solution

    |

  3. The value of the integral int(0)^(pi//2) |sin x-cos x|dx, is

    Text Solution

    |

  4. The value of the integral int(0)^(pi//4) sin^(-4)x dx, is

    Text Solution

    |

  5. The value of the integral I=int(1)^(oo) (x^(2)-2)/(x^(3)sqrt(x^(2)-1))...

    Text Solution

    |

  6. int(0)^(1) |sin 2pi x|dx id equal to

    Text Solution

    |

  7. The value of integral int(-pi)^(pi) (cos ax-sin b x)^(2)dx, where (a a...

    Text Solution

    |

  8. The value of the definite integral int(0)^(1)(1+e^(-x^(2))) dx is

    Text Solution

    |

  9. If I=int(-pi)^(pi) (sin^(2))/(1+a^(x))dx, a gt 0, then I equals

    Text Solution

    |

  10. If n is an odd natural number, then int(-pi//6)^(pi//6) (pi+4x^(n))/...

    Text Solution

    |

  11. If I(1)=int(0)^(x) e^("zx "e^(-z^(2)))dz and I(2)=int(0)^(x) e^(-z^(2)...

    Text Solution

    |

  12. int(0)^(1//2) |sin pi s|dx is equal to

    Text Solution

    |

  13. The function F(x)=int(0)^(x) log((1-x)/(1+x))dx, is

    Text Solution

    |

  14. int(1//3)^(3) (1)/(x)sin ((1)/(x)-x)dx is equal to

    Text Solution

    |

  15. If F(x)=int(x^(2))^(x^(3)) log t dt (x gt 0), then F'(x) equals

    Text Solution

    |

  16. If F(x)and g(x) are two integralable functions defined on [a,b], the...

    Text Solution

    |

  17. If I=int(0)^(1) (dx)/(sqrt(1+x^(4)))dx then

    Text Solution

    |

  18. If I=int(0)^(1) (dx)/(1+x^(4)), then

    Text Solution

    |

  19. The value of int(-1)^(1) x|x|dx, is

    Text Solution

    |

  20. If int(0)^(pi//2) cos^(n)x sin^(n) x dx=lambda int(0)^(pi//2) sin^(n)x...

    Text Solution

    |