Home
Class 12
MATHS
The value of int ((ax^(2)-b)dx)/(xsqrt(c...

The value of `int ((ax^(2)-b)dx)/(xsqrt(c^(2)x^(2)-(ax^(2)+b)^(2)))` is equal to

A

`sin^(-1)((ax+(b)/(x))/(c))+k`

B

`sin^(-1)((ax^(2)+(b)/(x^(2)))/(c))+k`

C

`cos^(-1)((ax+(b)/(x))/(c))+k`

D

`cos^(-1)((ax^(2)+(b)/(x^2))/(c))+k`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise Numerical value Type of JEE Main|15 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE MAIN (ARCHIVE)|26 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise LEVEL 1|135 Videos
  • INTEGRAL CALCULUS - 2

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

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|10 Videos

Similar Questions

Explore conceptually related problems

The value of int((ax^2-b)dx)/(xsqrt(c^2x^2-(ax^2+b)^2)) is equal to

int (ax +b)^(2)dx

The value of int(a x^2-b)/(xsqrt(c^2x^2-(a x^2+b)^2)) (a) 1/csin^(-1)(a x+b/x)+k (b) csin^(-1)(a+b/x)+e (c) sin^(-1)((a x+b/x)/c)+k (d) none of these

int (ax^2+bx+c)dx =

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

int(1+x^(2))/(xsqrt(1+x^(4)))dx is equal to

The value of int _(-1)^(1) (x)/(sqrt(1-x^(2))). sin^(-1) (2xsqrt(1-x^(2)))dx is equal to

If the value of definite integral int_(0)^(2)(ax +b)/((x^(2)+5x+6)^(2))dx is equal to (7)/(30) , then find the value of ((a^(2)+b^(2)))/(2) .

Evaluate int (dx)/((sqrt((x-alpha)^(2)-beta^(2)))(ax+b)) .

Evaluate: intx^2sqrt (ax+b)dx

VMC MODULES ENGLISH-INTEGRAL CALCULUS-1-LEVEL 2
  1. If l^(r )(x) means log log log … x, the log being repeated r times, th...

    Text Solution

    |

  2. The value of inte^(secx)*sec^3x(sin^2x+cosx+sinx+sinxcosx)dx is

    Text Solution

    |

  3. The value of int ((ax^(2)-b)dx)/(xsqrt(c^(2)x^(2)-(ax^(2)+b)^(2))) is ...

    Text Solution

    |

  4. int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1...

    Text Solution

    |

  5. int (x^4-1)/(x^2)sqrt(x^4+x^2+1) dx equal to (A) sqrt((x^4+x^2+1)/x) +...

    Text Solution

    |

  6. Evaluate: (sin^3x dx)/((cos^4x+3cos^2x+1)tan^(-1)(secx+cosx)

    Text Solution

    |

  7. integrate x^ x (1+logx)dx is equal to

    Text Solution

    |

  8. Evaluate: int1/(xsqrt(1+x^3))\ dx

    Text Solution

    |

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

    Text Solution

    |

  10. int1/((1+x^4)sqrt(sqrt(1+x^4)-x^2))dx

    Text Solution

    |

  11. int(dx)/((x^2+4x+5)^2) is equal to 1/2[tan^(-1)(x+1)+("x"+2)/("x"^2+...

    Text Solution

    |

  12. int((3x-2)^2)/x^2dx=?

    Text Solution

    |

  13. If f(x)=int(5x^8+7x^6)/((x^2+1+2x^7))dx,(xge0)andf(0)=0, then the valu...

    Text Solution

    |

  14. Evaluate the following Integrals : int (sec x .dx)/(sqrt(sin (x+2A...

    Text Solution

    |

  15. intsqrt(x^6+1).(log(x^6+1)-6logx)/(x^10)dx "is" =-(1)/(6)[(2)/(3)t^(3/...

    Text Solution

    |

  16. Evalaute: inte^(x)(1+nx^(n-1)-x^(2n))/((1-x^(n))sqrt(1-x^(2n))dx

    Text Solution

    |

  17. int(x^4(x^10-1))/((x^20+3x^10+1))dx=(1)/(5)tan^(-1)(f(x)+(1)/(f(x)))

    Text Solution

    |

  18. int sqrt((cosx-cos^(3)x)/(1-cos^(3)x))dx is equal to

    Text Solution

    |

  19. Evaluate : int(sinx)/(cos^(9//2)x)dx

    Text Solution

    |

  20. The value of int(cos^4xdx)/(sin^3x(sin^5x+cos^5x)^(3//5))=-(1)/(2)(1+g...

    Text Solution

    |