Home
Class 12
MATHS
intfracf(x)(tanx)dx=logabstanx+c, then f...

`intfracf(x)(tanx)dx=logabstanx+c`, then `f(x)` is

A

cot x

B

`sec^2x`

C

`cosec^2x`

D

`cot^2x`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|8 Videos

  • RELATIONS AND FUNCTIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

If intf(x)/(x^2+1)dx=logabs(x^2+1)+C , then f(x) =……………..

If intf(x)dx=logabs(tanx)+C . Find f(x)

If int(cos4x+1)/(cotx-tanx)dx=Acos4x+B , then

If int_(0)^(a)f(2a-x)dx = m and int_(0)^(a)f(x) dx = n , then int_(0)^(2a)f(x)dx is equal to

If intf(x)dx=g(x) , then intf^(-1)(x)dx is equal to a) g^(-1)(x) b) xf^(-1)(x)-g(f^(-1)(x)) c) xf^(-1)(x)-g^(-1)(x) d) f^(-1)(x)

If intf(x)dx=Psi(x) , then intx^(5)f(x^(3))dx is equal to a) 1/3[x^(3)Psi(x^(3))-intx^(2)Psi(x^(3))dx]+c b) 1/3x^(3)Psi(x^(3))-3intx^(2)Psi(x^(3))dx+c c) 1/3x^(3)Psi(x^(3))-intx^(2)Psi(x^(3))dx+c d) 1/3[x^(3)Psi(x^(3))-intx^(3)Psi(x^(3))dx]+c

If int_(0)^(a)f(2a-x)dx=muandint_(0)^(a)f(x)dx=lambda , then int_(0)^(2a)f(x)dx equals a) 2lambda-mu b) lambda+mu c) mu-lambda d) lambda-2mu

If intxf(x)dx=(f(x))/2 , then f(x) is equal to :

d/dx(tanx) =…….

If int(5tanx)/(tanx-2)dx=x+aln(sinx-2cosx)+k then a=

BODY BOOKS PUBLICATION-QUESTION PAPER 2020-EXERCISE
  1. Find dy/dx if y=x^x+x^sinx.

    Text Solution

    |

  2. if y=xcosx, find frac(d^2y)(dx^2)

    Text Solution

    |

  3. intfracf(x)(tanx)dx=logabstanx+c, then f(x) is

    Text Solution

    |

  4. If d/(d x) f(x)=4 x^3-3/x^4 such that f(2)=0, then f(x) is a)x^4+1/x^3...

    Text Solution

    |

  5. The area bounded by the curve y=f(x), x-axis and the line x=a and x=b ...

    Text Solution

    |

  6. From the following figure, find the area of the region bounded by the ...

    Text Solution

    |

  7. Form the differential equation corresponding to the curve y=mx

    Text Solution

    |

  8. Consider the D.E dy/dx+y/x=x^2 Solve the D.E.

    Text Solution

    |

  9. Find a unit vector perpendicular to the plane ABC where A,B,C are poin...

    Text Solution

    |

  10. The Cartesian equation of two lines are (x+1)/7=(y+1)/-6=(z+1)/1 and...

    Text Solution

    |

  11. Find the shortest distance between the lines (x+1)/7=(y+1)/-6=(z+1)/1 ...

    Text Solution

    |

  12. If a plane intersects the co-ordinate axes at a,b,c respectively,write...

    Text Solution

    |

  13. Find the vector and cartesian equations of the plane that passes throu...

    Text Solution

    |

  14. Let two independent events A and B such that P(A)=0.3,P(B)=0.6.Find ...

    Text Solution

    |

  15. Let two independent events A and B such that P(A)=0.3,P(B)=0.6 Find...

    Text Solution

    |

  16. Let two independent events A and B such that P(A)=0.3,P(B)=0.6 Fin...

    Text Solution

    |

  17. Given two independent events A and B such that P(A)=0.3,P(B)=0.6. find...

    Text Solution

    |

  18. Let A=[a(ij)](2times3) where a(ij=i+j. construct A.

    Text Solution

    |

  19. Let A=[a(ij)](2times3) where a(ij=i+j. construct A.Find AA' and hence ...

    Text Solution

    |

  20. For any square matrix A,prove that A+A' is symmetric.

    Text Solution

    |