Home
Class 12
MATHS
int(0)^(1//2) |sin pi x| dx is equal to ...

`int_(0)^(1//2) |sin pi x| dx` is equal to :

A

0

B

`pi`

C

`-pi`

D

`1/pi`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|297 Videos
  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

Similar Questions

Explore conceptually related problems

int_0^1 |sin 2 pi x| dx is equal to :

int_(0)^(pi//2)|sinx-cosx|dx is equal to

int_(0)^(pi//2) log sin x dx =

int_(-2)^2 |x cos pi x|dx is equal to :

int_0^2 |x - 1| dx is equal to :

int_(0)^(pi//4) sqrt(1 -sin 2x dx) is equal to :

int_(-1)^(2) x|x| dx is equal to :

int_(0)^(pi/6) sin2x . cosx dx

HIMALAYA PUBLICATION-Definite Integrals and its Application-QUESTION BANK
  1. lim(n rarr oo) { n/(n^(2)+1^(2)) + n/(n^(2)+2^(2))+......+ n/(n^(2)+n^...

    Text Solution

    |

  2. The value of the integral int0^(pi/4) (sin theta + cos theta)/(9+16 si...

    Text Solution

    |

  3. int(0)^(1//2) |sin pi x| dx is equal to :

    Text Solution

    |

  4. The value of int(-pi/2)^(pi/2) |x cos ((pix)/2)| dx is

    Text Solution

    |

  5. For any integer n, the integral : int0^(pi) e^(cos^2) cos^(3) (2n + 1)...

    Text Solution

    |

  6. If g(x) = int0^x cos^4 t dt, then g(x + pi) equals:

    Text Solution

    |

  7. If I(n) = int0^(pi/4) tan^(n) theta d theta, then I(8)+I(6) equals

    Text Solution

    |

  8. The value of int0^(pi/2) (1)/(1+tan^(3)x) dx is

    Text Solution

    |

  9. Let f : R to R and g : R to R be continuous functions. Then the value ...

    Text Solution

    |

  10. If f(a + b - x) = fx, then inta^b x f(x) dx is equal to :

    Text Solution

    |

  11. int0^(pi/2) (dx)/(1+cotx) =

    Text Solution

    |

  12. If f and g are continuous [0,a) satisfying f(x) = f(a-x) and g(x)+ g(a...

    Text Solution

    |

  13. int0^(3) |x^(3)+x^(2)+3x| dx is equal to

    Text Solution

    |

  14. int0^(10) |x(x-1)(x-2)| dx is equal to

    Text Solution

    |

  15. If I = int0^(pi/4) log (1+ tan x) dx, then I =

    Text Solution

    |

  16. lim(n rarr oo) {1/n+1/(n+1)+1/(n+2)+…..+1/(3n)} =

    Text Solution

    |

  17. If I = int(-pi)^(pi) (e^(sinx))/(e^(sinx)-e^(-sinx)) dx then I =

    Text Solution

    |

  18. lim(x rarr oo) (int(0)^(2x) xe^(2)dx)/(e^(4x^(2))) equals :

    Text Solution

    |

  19. The value of int(-2)^(2) { p log ((1+x)/(1-x))+ q log ((1-x)/(1+x))^(...

    Text Solution

    |

  20. inta^(b) |x|/x dx, (Where 0 lt a lt b) =

    Text Solution

    |