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

The value of the integral `int_(0)^(pi/2)(sin^(100) x - cos^(100)x)dx` is

A

`1/100`

B

`(100!)/(100)^(100)`

C

`pi/100`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2006

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • KARNATAKA CET 2008

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The value of the integral int_0^pi (x sin^(2n) x)/(sin^(2n) x + cos^(2n) x)dx is :

The value of integral int_(-pi//4)^(pi//4) sin^(-4) x dx is :

The value of the intergral underset(0)overset(pi//2)(int) (sin^(100) x-cos ^(100) x) dx is :

int_(-pi/2)^(pi/2) sin^(4)x. cos^(6)x dx =

int_(0)^(pi//4) cos^(2) x dx

Evaluate the definite integrals int_(0)^(pi)(sin^(2)(x/2)-cos^(2)(x/2)dx

int_0^(pi/2) x sin^(2) x. cos^(2) x dx =

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

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2007-MATHEMATICS
  1. If the area of the auxillary circle of the ellipse (x^(2))/(a^(2)) + (...

    Text Solution

    |

  2. The range in which y = - x^(2) + 6x -3 is increasing is

    Text Solution

    |

  3. The value of the integral int(0)^(pi/2)(sin^(100) x - cos^(100)x)dx is

    Text Solution

    |

  4. OA and OB are two roads enclosing an angle of 120^(@).X and y start fr...

    Text Solution

    |

  5. If k int (0)^(1)x.f(3x)dx = int(0)^(3) t. f(t)dt, then the value of k ...

    Text Solution

    |

  6. The value of int (1)/(1 + cos 8x)dx is

    Text Solution

    |

  7. If sec^(-1)((1+x)/(1+ y)) = a, then (dy)/(dx) is

    Text Solution

    |

  8. If y = (cos^(2))(3x)/(2) - (sin^(2))(3x)/(2), then (d^(2)y)/(dx^(2)) i...

    Text Solution

    |

  9. If the function f(x) = {(1-cos x)/(x^(2)) for x ne 0 is k for x = 0 c...

    Text Solution

    |

  10. If 1, omega, omega^(2) are the cube roots of unity then (1 + omega) (1...

    Text Solution

    |

  11. If x^(x) = y^(y), then (dy)/(dx) is

    Text Solution

    |

  12. The value of inte^(x)(x^(5) + 5x^(4) + 1).dx is

    Text Solution

    |

  13. The value of int((x^(2)+1)/(x^(2)-1))dx is

    Text Solution

    |

  14. The area bounded by the curve x = 4 - y^(2) and the Y-axis is

    Text Solution

    |

  15. The differential equation of the family of straight lines whose slope ...

    Text Solution

    |

  16. The order and degree of the differential equation [1 + (dy/(dx))^(5)]^...

    Text Solution

    |

  17. The point on the curve y^(2) = x where the tangent makes an angle (pi)...

    Text Solution

    |

  18. The length of the subtangent to the curve x^(2)+y^(2)=a^(4) at the poi...

    Text Solution

    |

  19. The number of positive divisors of 252 is

    Text Solution

    |

  20. The remainder obtained when 5^(124) is divide by 124 is

    Text Solution

    |