Home
Class 12
MATHS
For the function f(x) = 1+ 3^(x) log 3, ...

For the function `f(x) = 1+ 3^(x) log 3`, the antiderivative F assumes the 7 for x =2. The value of x for which the curve y = F(x) cuts the abscissa (x-axis ) is

A

x = 3

B

x = 1

C

x =0

D

x =-1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

Similar Questions

Explore conceptually related problems

The function f(x)=x^(3)-3x is :

For the function f(x) = x+1/x, x in [1,3] the value of c for mean value theorem is

If f(x)=log ((1+x)/(1-x)) , then

The tangent to a given curve y=f(x) is perpendicular to the x-axis if

Domain of the function , f(x) = sqrt(sin^(-1) (log_2 x)) is

The function f(x) = (log (1+ax) - log(1-bx))/(x) is not defined at x = 0. The value which should be assigned to f at x = 0 so that it is continuous at x = 0 is :

If f(x) = 3^1+logx//x^log3 , then f(2005) is

The function f(x)=(log(1+ax)-log(1-bx))/x is not defined at x=0 . The value which should be assigned to f at x=0 so that it is continuous at x=0 is

The function f(x) = ([log (1 + ax) - log (1-bx)])/(x) is not defined at x = 0. The value, which should be assrgned to f at x = 0. The value, which should be assrgned to f at x = 0 so that it is continuous at x = 0 is :

HIMALAYA PUBLICATION-INDEFINITE INTEGRAL-QUESTION BANK
  1. int (1+t^(2))/(1+t^(4))dt =

    Text Solution

    |

  2. int(4x^(3))/(1+x^(8)) dx =

    Text Solution

    |

  3. For the function f(x) = 1+ 3^(x) log 3, the antiderivative F assumes t...

    Text Solution

    |

  4. If an antiderivative of f(x) is e^(x) and that of g(x) is cos x, then ...

    Text Solution

    |

  5. If f(x) = cos x - cos^(2)x + cos^(3)x + …. to oo int f(x) dx =

    Text Solution

    |

  6. If I = int tan^(-1)((2x)/(1-x^(2)))*dx then I-2x*tan^(-1)x =

    Text Solution

    |

  7. int 2/(1-x^(4)) dx = k log ((1+x)/(1-x)) + tan^(-1)x then k =

    Text Solution

    |

  8. int dx/((x^(2)+1)(x^(2)+4))= k tan^(-1) x + l (tan^(-1)) x/2 then

    Text Solution

    |

  9. int dx/(x-x^(3)) = A (log) x^(2)/(1-x^(2)), then A =

    Text Solution

    |

  10. int (sin 2x +cos 2x) dx = 1/sqrt2 sin (2x-a) then a =

    Text Solution

    |

  11. If I(1) = int sin^(-1) x dx and I(2) = int sin^(-1) sqrt(1-x^(2))dx th...

    Text Solution

    |

  12. int d^(2)/(dx^(2))(tan^(-1) x) dx =

    Text Solution

    |

  13. If f(x) = int (x^(2)+sin^(2)x)/(1+x^(2)) sec^(2)x dx and f(0) = 0, the...

    Text Solution

    |

  14. In n (ne 1) in N and I(n) = intcosec^(n) dx then (n-1)((n)+cosec^(n-2)...

    Text Solution

    |

  15. If n(ne 1) in N and I(n) =int sec^(n)x dx then (n-1) I(n)-(n-2)I(n-2) ...

    Text Solution

    |

  16. If n in N and I(n) = intsin^(n) x dx then nI(n)-(n-1)I(n-2) =

    Text Solution

    |

  17. If n in N and I(n) = intcos^(n) xdx then nI(n) - cos^(n-1)x. sinx =

    Text Solution

    |

  18. If n(ne 1) in N and I(n) = int tan^(n) x dx then I(n)+I(n-2) =

    Text Solution

    |

  19. If n(ne 1) in N and I(n) = intcot^(n) x dx then I(n) + (cot^(n-1)x)/(n...

    Text Solution

    |

  20. If n(ne 1) in N and I(n) = int e^(x)/x^(n) dx then I(n)+ e^(x)/((n-1)x...

    Text Solution

    |