Home
Class 12
MATHS
The value of sum(r=1)^oocot^(- 1)((r^2)/...

The value of `sum_(r=1)^oocot^(- 1)((r^2)/2+15/8)` is equal to

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The value of sum _(r =1) ^(oo) (8r)/(4r ^(4) +1) is equal to :

The value of sum_(r=1)^(15) (r2^(r))/((r+2)!) is equal to (a) ((17)!-2^(16))/((17)!) (b) ((18)!2^(17))/((18)!) (c) ((16)!-2^(15))/((16)!) (d) ((15)!-2^(14))/((15)!)

The sum sum_(k=1)^oocot^(-1)(2k^2) equals

sum _(r = 2) ^(oo) (1)/(r ^(2) - 1) is equal to :

The value of sum_(r=0)^(2n)(-1)^(r)*(""^(2n)C_(r))^(2) is equal to :

The value of sum_(r=0)^(n) r(n -r) (""^(n)C_(r))^(2) is equal to

The value of sum_(r=1)^(n) (-1)^(r+1)(""^(n)C_(r))/(r+1) is equal to

The value of sum_(r=1)^(n)log((a^(r))/(b^(r-1))) , is

The value of the lim_(n->oo)tan{sum_(r=1)^ntan^(- 1)(1/(2r^2))} is equal to

sum_(r=1)^n (r^2 - r-1)/((r+1)!) is equal to :

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  2. If the value of the definite integral int0^1(sin^(-1)sqrt(x))/(x^2-x+1...

    Text Solution

    |

  3. The value of sum(r=1)^oocot^(- 1)((r^2)/2+15/8) is equal to

    Text Solution

    |

  4. cos^(2)73^(@)+cos^(2)47^(@)-sin^(2)43^(@)+sin^(2)107^(@) is equal to

    Text Solution

    |

  5. The area bounded by the curve y=|cos^(-1)(sinx)|-|sin^(-1)(cosx)| and ...

    Text Solution

    |

  6. If the value of definite integral int(1)^(a)x.a^([log(a)x])d x, wher...

    Text Solution

    |

  7. Statement 1: If x ,y ,z are the sides of a triangle such that x+y+z=1,...

    Text Solution

    |

  8. L e tJ=int(-5)^(-4)(3-x^2)tan(3-x^2)dx and K=int(-2)^(-1)(6-6x+x^2) t...

    Text Solution

    |

  9. Find the sum (1^4)/(1xx3)+(2^4)/(3xx5)+(3^4)/(5xx7)++(n^4)/((2n-1)(2n+...

    Text Solution

    |

  10. Let C be a curve passing through M(2,2) such that the slope of the tan...

    Text Solution

    |

  11. The equation of the curve is y-f(x). The tangents at [1,f(1)[,[2,f(2)]...

    Text Solution

    |

  12. if sin x +sin^2 x = 1 then cos^12 x+ 3 cos^10 x + 3 cos^8 x + cos ^6 ...

    Text Solution

    |

  13. The value of 2^(2010)(int0 1x^(1004)(1-x)^(1004)dx)/(int0 1x^(1004)(1...

    Text Solution

    |

  14. if (x-a)(x-5)+2=0 has only integral roots where a in I , then value o...

    Text Solution

    |

  15. Let f be a differentiable function satisfying the condition f ((x)/(y)...

    Text Solution

    |

  16. A point z moves on the curve |z-4-3i| =2 in an argand plane. The maxim...

    Text Solution

    |

  17. If alpha, beta and gamma are the roots of the equation x^(3)-px^(2)+qx...

    Text Solution

    |

  18. If f(x) is a continuous function AAx in R , then which of the followi...

    Text Solution

    |

  19. Statement 1: If|x+3|+5=|x+8|t h e nxgeq-3 Statement 2: |a|+|b|=|a+b...

    Text Solution

    |

  20. Let In=int- 1^1|x|(1+x+(x^2)/2+(x^3)/3+.....+(x^(2n))/(2n))dx where ...

    Text Solution

    |