Home
Class 12
MATHS
Evaluate: int(x^2-1)/((x^4+3x^2+1)tan^(-...

Evaluate: `int(x^2-1)/((x^4+3x^2+1)tan^(-1)(x+1/x))dx`

A

1

B

2

C

3

D

5

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINTE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL-II)|20 Videos

  • INDEFINTE INTEGRAL

    FIITJEE|Exercise COMPREHENSIONS -I|1 Videos

  • INDEFINTE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE LEVEL-II)|4 Videos

  • HYPERBOLA

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(1)/(x^(4)+3x^(2)+1)dx

Evaluate: int(x^3)/(x^4+x^2+1)\ dx

Evaluate: int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx

Evaluate: int(x^(2)-3x+1)/(x^(4)+x^(2)+1)dx

Evaluate: int(x^3+x+1)/(x^2-1)\ dx

Evaluate int_(-1)^(1)(x^2-3x+2)dx

Evaluate: int(x^(2))/((x-1)^(3)(x+1))dx

Evaluate: int(x^(2))/((x-1)^(3)(x+1))dx

Evaluate: int(2x+1)/(x^(4)+2x^(3)+x^(2)-1)dx

Evaluate: int(x^(2)+x+1)/((x-1)^(3))dx

FIITJEE-INDEFINTE INTEGRAL-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL-I)
  1. The value of int(xtanxsecx)/((tanx-x)^(2))dx is equal to

    Text Solution

    |

  2. If int((x^(2)-1)dx)/((x^(4)+3x^(2)+1)Tan^(-1)((x^(2)+1)/(x)))=klog|tan...

    Text Solution

    |

  3. If int\ x ln(1+1/x)\ dx = p(x)\ ln(1+1/x)+1/2 x - 1/2 ln(1+x) + c, c b...

    Text Solution

    |

  4. int0^1T a n^(- 1)((2x)/(1-x^2))dx=

    Text Solution

    |

  5. intsqrt(x)dx is equal to

    Text Solution

    |

  6. If int((2x+1)dx)/(x^(4)+2x^(3)+x^(2)-1)=Aln|(x^(2)+x+1)/(x^(2)+x-1)|+C...

    Text Solution

    |

  7. Let l(n)=int(0)^(1){P(x^(2))+P(x^(2)-1)}^(n)dx. If (k+1)l(n)=2k(1+l(n-...

    Text Solution

    |

  8. int(sin^8x-cos^8x)/(1-2sin^2xcos^2x)dx=

    Text Solution

    |

  9. Evaluate: int(x^2-1)/((x^4+3x^2+1)tan^(-1)(x+1/x))dx

    Text Solution

    |

  10. int(cos2theta)/((sintheta+costheta)^(2))d""theta is equal to

    Text Solution

    |

  11. int ((x+2)/(x+4))^2 e^x dx is equal to

    Text Solution

    |

  12. int e^(x^4) (x + x^3 +2x^5) e^(x^2) dx is equal to

    Text Solution

    |

  13. 4 int (sqrt(a^(6)+x^(8)))/(x) dx is equal to

    Text Solution

    |

  14. intx((lna^(x/2)/(3a^((5x)/2)b^(3x))+(lnb^b^x)/(2a^(2x)b^(4x)))dx(w h e...

    Text Solution

    |

  15. The value of int(1+sin2theta)/(sintheta-costheta)d""theta is equal to

    Text Solution

    |

  16. int((sin2x)^(1//3)d(root(3)(tanx)))/(sin^(2//3)x+cos^(2//3)x) is equal...

    Text Solution

    |

  17. int (dx)/(x^(2)(x^(4)+1))is

    Text Solution

    |

  18. inttan^(-1)alpha,tanxdalpha equals

    Text Solution

    |

  19. intdx/[{(x-5)+(x-7)}sqrt((x-5)(x-7))]

    Text Solution

    |

  20. Statement-1: A function is given by g(x)=ln""(x^(2)+1)/(x^(2)-1) becau...

    Text Solution

    |