Home
Class 12
MATHS
If int(1)/((x^(2)+4)(x^(2)+9))dx=A" tan"...

If `int(1)/((x^(2)+4)(x^(2)+9))dx=A" tan"^(-1)(x)/(2)+Btan^(-1)((x)/(3))+C`, then A-B=

A

`(1)/(6)`

B

`(1)/(30)`

C

`(-1)/(30)`

D

`(-1)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|277 Videos

  • MHT-CET 2018

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

If int (dx)/((x^2+4)(x^2+9))=Atan^(-1)((x)/(2))+Btan^(-1)((x)/(3))+c , then A-B =

int(1)/(x^(4)+3x^(2)+9)dx

If int(1)/((x^(2)+1)(x^(2)+4))dx=Atan^(-1)x+B" tan"^(-1)(x)/(2)+C , then

" 1.If "int(1)/((x^(2)+1)(x^(2)+4))dx=G tan^(-1)x+H tan^(-1)((x)/(2))+C,C in A." Then "G=.......,H=...?

int_(1)^(2)(3x)/(9x^(2)-1)dx

prove that int(x^(2))/((x^(2)+1)(x^(2)+4))dx=-(1)/(3)tan^(-1)x+(2)/(3)tan^(-1)((x)/(2))+

int(dx)/(x^(2)+2x+2) equals (A) x tan^(-1)(x+1)+C (B) tan^(-1)(x+1)+C

int(2x^(2)+3)/((x^(2)-1)(x^(2)+4))dx=alog((x+1)/(x-1))+b"tan"^(-1)(x)/(2) , then (a,b) is

If int(1)/((sinx+4)(sinx-1))dx =A(1)/("tan"(x)/(2)-1)+B"tan"^(-1){f(x)}+C . Then,

If int(1)/(a^(4)-x^(4))dx=A tan^(-1)((x)/(a))+B log|(a+x)/(a-x)|+C ,then (A,B)=

NIKITA PUBLICATION-MHT-CET 2017-MCQ
  1. if int (1)/(sqrt(9-16x^(2)))dx=alpha sin ^(-1) (beta x) +c. then a...

    Text Solution

    |

  2. O(0,0), A(1,2), B(3,4) are the vertices of DeltaOAB. The joint equatio...

    Text Solution

    |

  3. If int(1)/((x^(2)+4)(x^(2)+9))dx=A" tan"^(-1)(x)/(2)+Btan^(-1)((x)/(3)...

    Text Solution

    |

  4. If alpha and beta are the roots of the equation x^(2)+5|x|-6=0, then t...

    Text Solution

    |

  5. If x=a(t-(1)/(t)),y=a(t+(1)/(t)), where t be the parameter, then (dy)/...

    Text Solution

    |

  6. The point on the curve y= sqrt(x-1) where the tangent is perpen...

    Text Solution

    |

  7. If intsqrt((x-5)/(x-7))dx = A sqrt(x^(2) - 12 x + 35) + log|x-6 +sqr...

    Text Solution

    |

  8. The number of principal solutions of tan2theta=1 is

    Text Solution

    |

  9. The objective function, z=4x(1)+5x(2), subject to 2x(1)+x(2)ge7,2x(1)+...

    Text Solution

    |

  10. If z(1) and z(2) are z-coordinates of the points of trisection of the ...

    Text Solution

    |

  11. The maximum value of f(x)=(logx)/(x)(x ne 0, x ne1) is

    Text Solution

    |

  12. int(0)^(1)xtan^(-1)xdx=

    Text Solution

    |

  13. If c denotes the contradication, then dual of the compound statement ~...

    Text Solution

    |

  14. All parabolas whose axis is the Y-axis.

    Text Solution

    |

  15. int(0)^(3)[x]dx=…, where [x] is greatest integer function.

    Text Solution

    |

  16. The objective function off LPP defined over the convex set attains it ...

    Text Solution

    |

  17. IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] ...

    Text Solution

    |

  18. Find the value of k, if the function f given by : {:(f(x)=[tan((pi)/...

    Text Solution

    |

  19. For a invertible matrix A if A (adj A) =[(10,0),(0,10)] then |A...

    Text Solution

    |

  20. The solution of the differential equation (dy)/(dx)="tan"((y)/(x))+(y)...

    Text Solution

    |