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

Evaluate: `int_(-1/2)^(1/2)[((x+1)/(x-1))^2+((x-1)/(x+1))^2-2]^(1/2)dx`

A

`4ln ((2)/(3))`

B

`2ln ((2)/(3))`

C

`ln((4)/(3))`

D

`4ln((4)/(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_(-1/2)^(1/2)cosxlog((1-x)/(1+x))dx

Evaluate int_(1)^(2)(dx)/((x+1)(x+2))

Evaluate: int1/(x^2)cos^2(1/x)dx

Evaluate int_(1)^(2)(dx)/(x(1+x^(2)))

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

Evaluate int_(-1)^(1) log ((2-x)/( 2+x)) dx

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

Evaluate: int1/(2x^2+x-1)dx

Evaluate: int1/(2x^2+x-1)dx

Evaluate: int1/(2x^2+x-1)dx

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
  1. Find the equation of tangent to y=int(x^2)^(x^3)(dt)/(sqrt(1+t^2))a t...

    Text Solution

    |

  2. Find out the area bounded by the curve y=int(1//8)^(sin^(2)x)(sin^(-1)...

    Text Solution

    |

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

    Text Solution

    |

  4. Let f(x)=ax^(2)+bx + c, where a in R^(+) and b^(2)-4ac lt 0. Area boun...

    Text Solution

    |

  5. For x epsilonR, and a continuous function f let I(1)=int(sin^(2)t)^(1+...

    Text Solution

    |

  6. int(-2)^2min(x-[x],-x-[-x])dx equals, where [ x ] represents greatest ...

    Text Solution

    |

  7. The area of the loop of the curve x^(2)+(y-1)y^(2)=0 is equal to :

    Text Solution

    |

  8. Find the area enclosed by the curves x^2=y , y=x+2 and x-axis

    Text Solution

    |

  9. The area inside the parabola 5x^(2)-y=0 but outside the parabola 2x^(3...

    Text Solution

    |

  10. Find the area bounded by the x-axis, part of the curve y=(1-8/(x^2)) ,...

    Text Solution

    |

  11. Show that the area included between the parabolas y^(2)=4a(x+a) and y^...

    Text Solution

    |

  12. Find the area bounded by the curves y=2x-x^2 and the straight line y=-...

    Text Solution

    |

  13. If y=int(0)^(x)sqrt(sin x)dx the value of (dy)/(dx) at x=(pi)/(2) is :

    Text Solution

    |

  14. Find the area bounded by the curves y=-x^2+6x-5,y=-x^2+4x-3, and the s...

    Text Solution

    |

  15. Find the area enclosed by the curves 3x^2+5y=32a n dy=|x-2|dot

    Text Solution

    |

  16. Find the area of the region bounded by the curves y=x-1\ a n d\ (y-1)^...

    Text Solution

    |

  17. Evaluate : int(0)^(pi//2)sin^(8)xdx

    Text Solution

    |

  18. Evaluate : int(0)^(pi//2)sin^(9)x cos^(7)xdx

    Text Solution

    |

  19. Evaluate : int(0)^(pi//2)cos^(9)xdx

    Text Solution

    |

  20. Prove that 4le int(1)^(3) sqrt(3+x^(3)) dx le 2sqrt30.

    Text Solution

    |