Home
Class 12
MATHS
The value of the integral int(1+x^(2))/(...

The value of the integral `int(1+x^(2))/(1+x^(4))dx` is equal to

A

`(1)/(sqrt(2))tan^(-1)((x^(2))/(sqrt(2)))+c`

B

`(1)/(sqrt(2))tan^(-1)((x^(2)-1)/(sqrt(2)x))+c`

C

`(1)/(sqrt(2))tan^(-1)((x^(2)+1)/(x))+c`

D

`tan^(-1)((x^(2)-1)/(sqrt(2)x))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 21

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

  • PRACTICE SET 23

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper-2(MATHEMATICS)|50 Videos

Similar Questions

Explore conceptually related problems

By Simpson rule taking n=4, the value of the integral int _(0)^(1)(1)/(1+x^(2))dx is equal to

The value of the integral int_(0)^(oo)(1)/(1+x^(4))dx is

int_(0)^( If )(f(t))dt=x+int_(x)^(1)(t^(2)*f(t))dt+(pi)/(4)-1 then the value of the integral int_(-1)^(1)(f(x))dx is equal to

The value of the integral int_(-2)^(2)(1+2sin x)e^(|x|)dx is equal to

The value of the integral int_(0)^(4)(x^(2))/(x^(2)-4x+8)dx is equal to

The value of the integral int_(-2)^(2)|1-x^(2)|dx is

The integral int(1)/((1+x^(2))sqrt(1-x^(2)))dx is equal to

Let [x] denote the greatest integer less than or equal to x, then the value of the integral int_(-1)^(1)(|x|-2[x])dx is equal to

The value of the integral int_0^1 x(1-x)^n dx=

The value of the integral int_(0)^(1) x(1-x)^(n)dx , is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 22 -Mathematics
  1. If the sum of first n natural numbers is (1)/(78) times the sum of the...

    Text Solution

    |

  2. The locus of the foot of the perpendicular from the foci an any tangen...

    Text Solution

    |

  3. The feasible for the following constraints L(1) le 0, L(2) ge 0, L(3)=...

    Text Solution

    |

  4. The value of lim(x to 1) (x^(7)-2x^(5)+1)/(x^(3)-3x^(2)+2) is

    Text Solution

    |

  5. For the function y=x+(1)/(x)

    Text Solution

    |

  6. The derivative of f(x) =int(x^2)^(x^3)1/(loge(t))dt,(x>0), is

    Text Solution

    |

  7. In a certain twon, 25% families own a cell phone, 15% families own a s...

    Text Solution

    |

  8. If A={1,2,3,4,5}, then find the domain in the relation from A to A by ...

    Text Solution

    |

  9. If x^(y)=e^(x-y), then (dy)/(dx) is equal to

    Text Solution

    |

  10. In Boolean Algebra, the unit element '1'

    Text Solution

    |

  11. If A=[(1,1),(1,1)] ,then A^(100) is equal to

    Text Solution

    |

  12. The value of the integral int(1+x^(2))/(1+x^(4))dx is equal to

    Text Solution

    |

  13. The minimum value of 2^(x^2-3)^(3+27) is 2^(27) (b) 2 (c) 1 (d) ...

    Text Solution

    |

  14. If f(2)=2 and f'(2)=1, and then lim(x to 2) (2x^(2)-4f(x))/(x-2) is eq...

    Text Solution

    |

  15. The probability that a man will live 10 more years is 1//4 and the pro...

    Text Solution

    |

  16. If A={x,y,z}" and "B={a,b,c,d}. Then, which one of the following is no...

    Text Solution

    |

  17. [((vecaxxvecb)xx(vecbxxvecc),(vecbxxvecc)xx(veccxxveca),(veccxxveca)xx...

    Text Solution

    |

  18. Equation of circle whose centre is (3, -1) and which cut off an interc...

    Text Solution

    |

  19. If [{:(1,1,1),(1,-2,-2),(1,3,1):}][{:(x),(y),(z):}]=[{:(0),(3),(4):}],...

    Text Solution

    |

  20. The three straight lines ax+by=c, bx+cy=a and cx +ay =b are collinear,...

    Text Solution

    |