Home
Class 12
MATHS
int(0)^(3)(2+x^(2))dx=...

`int_(0)^(3)(2+x^(2))dx=`

A

`underset(n to oo)lim(1)/(n)[2n+(1^(2)+2^(2)+…+(3n)^(2))/(n^(2))]`

B

`underset(n to oo)lim(1)/(n)[3n+(1^(2)+2^(2)+…+6n^(2))/(n^(2))]`

C

`underset(n to oo)lim(1)/(n)[6n+(1^(2)+2^(2)+…+9n^(2))/(n^(2))]`

D

`underset(n to oo)lim(1)/(n)[3n+(1^(2)+2^(2)+…+3n^(2))/(n^(2))]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2017

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos
  • TS EAMCET 2018 (7 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(2) [x^(2)-1]dx=

If I_(1) = int_(0)^(1) 2^(x^(2))dx, I_(2) = int_(0)^(1) 2^(x^(3))dx , I_(3) = int_(1)^(2) 2^(x^(2))dx, I_(4)=int_(1)^(2) 2^(x^(3))dx then

int_(0)^(2)x^(2)[x]dx=

If int_(0)^(oo)e^(-x^(2))dx=(sqrtpi)/(2)," then " int_(0)^(oo)e^(-ax^(2))dx,agt0 is

int_(-2)^(3) |1-x^(2)|dx=

int_(0)^(2)(3x^(2)+4x+3)dx=

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

int_(0)^(3)[x]dx=

int_(0)^(a)x^(3)(ax-x^(2))^(3//2)dx=

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2018 (4 MAY SHIFT 1)-Mathematics
  1. If the plane passing through the points (1, 2, 3), (2, 3, 1) and (3, 1...

    Text Solution

    |

  2. underset(x to -oo)lim(3|x|-x)/(|x|-2x)-underset(xto0)lim(log(1+x^(3)))...

    Text Solution

    |

  3. If f(x)={{:((x-2)/(|x-2|)+a,x lt 2),(a+b,x=2),((x-2)/(|x-2|)+b,x gt 2)...

    Text Solution

    |

  4. If f(x)={{:((x^(2)log(cosx))/(log(1+x^(2))),x ne 0),(0,x = 0):}, then ...

    Text Solution

    |

  5. Match the items given in List-I with those of the items of List - II ...

    Text Solution

    |

  6. If y=((sin^(-1)x)^(2))/(2), then (1-x^(2))y(2)-xy(1)=

    Text Solution

    |

  7. If the relative errors in the base radius and the height of a cone are...

    Text Solution

    |

  8. The normal at a point theta to the curve x=a(1+cos theta),y=a sin thet...

    Text Solution

    |

  9. Let f(x) be continuous on [0, 6] and differentiable on (0, 6). Let f(0...

    Text Solution

    |

  10. If (alpha,beta) and (gamma,delta) where alpha lt gamma, are the turnin...

    Text Solution

    |

  11. The height of a cylinder of the greatest volume that can be inscribed ...

    Text Solution

    |

  12. int(dx)/((e^(x)+e^(-x))^(2))=

    Text Solution

    |

  13. int(0)^(pi//2)(dx)/(1+(tanx)^(sqrt(2018)))=

    Text Solution

    |

  14. If int(x)/((x^(2)+1)(x-1))dx=A log|x^(2)+1|+B tan^(-1)x+C log|x-1|+d, ...

    Text Solution

    |

  15. int(0)^(pi//2)(cos^(3)x)/(sinx+cosx)dx=

    Text Solution

    |

  16. int(0)^(3)(2+x^(2))dx=

    Text Solution

    |

  17. The area enclosed (in square units) by the curve y=x^(4)-x^(2), the X-...

    Text Solution

    |

  18. The differential equation corresponding to the family of circles havin...

    Text Solution

    |

  19. The general solution of the differential equation (x^(2)+xy)y'=y^(2) i...

    Text Solution

    |

  20. At any point on a curve, the slope of the tangent is equal to the sum ...

    Text Solution

    |