Home
Class 12
MATHS
underset(pi/12)overset(pi/2)int(dx)/(1+s...

`underset(pi/12)overset(pi/2)int(dx)/(1+sqrt(cotx))`

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi/2)(dx)/(1+sqrt(cotx))

Evaluate the following definite integrals underset(0)overset(pi//4)int(dx)/(1+cos2x)

If [*] denots the greatest integer function then the value of the integeral underset(-pi//2)overset(pi//2)int([(x)/(pi)]+0.5) dx , is

Evaluate the following definite integrals underset(0)overset(1)int(dx)/(sqrt(1-x^(2)))

overset(pi//2)underset(-pi//2)int (cos x)/(1+e^(x))dx=

Show that (i) (1)/(10sqrt(2))lt underset(0)overset(1)int(x^(9))/(sqrt(1+x))dx lt 1/10 , (ii) 1/2 ln 2 lt int_(0)^(1)(tanx)/(1+x^(2))dx lt (pi)/(2)

The value of underset(0)overset(pi//2)int (sin^(3)x)/(sin x + cos x)dx is (pi-1)/(k) . The value of k is ________.

Evaluate the following definite integrals underset(0)overset(pi//2)int(1+sinx)^(3)cosxdx

The value of overset(3pi//4)underset(pi//4)int (x)/(1+sin x) dx is equal to

The value of underset(0)overset(pi//2)int logtan xdx , is

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Show that the lines (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6)/...

    Text Solution

    |

  2. Find the equations of the tangent and normal to the curve x=asin^3t...

    Text Solution

    |

  3. underset(pi/12)overset(pi/2)int(dx)/(1+sqrt(cotx))

    Text Solution

    |

  4. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

  5. cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx)))=(x)/...

    Text Solution

    |

  6. सिद्ध कीजिए कि 2 tan^(-1)""(1)/(5)+sec^(-1)""(5sqrt(2))/(7)+2tan^...

    Text Solution

    |

  7. Prove that, for any three vectors vec a , vec b , vec c [ vec a+ v...

    Text Solution

    |

  8. Vector vec a , vec b and vec c are such that vec a+ vec b+ vec c...

    Text Solution

    |

  9. The sum of the perimeters of a circle and a square is k , where k is s...

    Text Solution

    |

  10. Find the direction cosines of the line (x+2)/2=(2y-7)/6=(5-z)/6dot Als...

    Text Solution

    |

  11. Solve for x :2tan^(-1)(cosx)=tan^(-1)(2\ cos e c\ x)

    Text Solution

    |

  12. Using differentials, find the approximate value of (3. 968)^(3/2)

    Text Solution

    |

  13. Write the derivative of sinx w.r.t. cosxdot

    Text Solution

    |

  14. Find : int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx

    Text Solution

    |

  15. Write a vector in the direction of the vector hat i-2 hat j+2 hat j+2...

    Text Solution

    |

  16. Write the distance of a point P(a ,b ,c) from x-axis.

    Text Solution

    |

  17. If [x y4z+6x+y]=[8w0 6], write the value of (x+y+z)dot

    Text Solution

    |

  18. Write the principal value of cos^(-1)[cos(680^0)]dot

    Text Solution

    |

  19. Let R be the equivalence relation in the set A={0,\ 1,\ 2,\ 3,\ 4,\ 5}...

    Text Solution

    |

  20. Write a x2x matrix which is both symmetric and skew-symmetric.

    Text Solution

    |