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:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 1|57 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test 2|56 Videos

  • DEFINITE INTEGRALS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|87 Videos

  • DERIVATIVE AS A RATE MEASURER

    OBJECTIVE RD SHARMA ENGLISH|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|+|cosx|)dx is

The value of the integral int_(0)^(pi//2) sin 2n x cot x dx, where n is a positive integer, 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^(6) x dx , is

The value of the integral int_(0)^(400pi) sqrt(1-cos2x)dx , is

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

The value of the integral I=int_(0)^( pi/4)[sin x+cos x](cos x-sin x)dx is equal to (where,[.] denotes the greatest integer function)

Evaluate the following integral: int_0^(pi//2)|sin x-cos x|dx

The value of the integral int_(0)^(pi)(1)/(a^(2)-2a cos x+1)dx (a gt1) , is

OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
  1. The value of the integral int0^1(dx)/(x^2+2xcosalpha+1) is equal to si...

    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(-pi//4)^(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. Evaluate: int(-pi)^pi(cosa x+s in b x)^2dx

    Text Solution

    |

  8. The value of the definite integral int0^1(1+e^-x^2)dx (b) 2 1+e^...

    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 x|dx is equal to

    Text Solution

    |

  13. If f(x)=int(0)^(x) log ((1-t)/(1+t)) dt, then discuss whether even or ...

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

    Text Solution

    |

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

    Text Solution

    |

  18. The value of int(-1)^(1)(x|x|)dx is equal to

    Text Solution

    |

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

    Text Solution

    |

  20. The value of int(1//e )^(e )(|log x|)/(x^(2))dx, is

    Text Solution

    |