Home
Class 12
MATHS
Let f (a)(x) =In x and for n ge 0 and x...

Let `f _(a)(x) =In x and ` for `n ge 0 and x gt 0`
Let `f _(a)(x) = int _(0) ^(x)f _(a) (t) dt` then:
`f _(a) (x )` equals :

A

` (x ^(3))/(3 ) (ln x - (5)/(6))`

B

` (x ^(3))/( 3) (ln x - (11)/(6))`

C

`(x ^(3))/(lfloor3) (ln x -(11)/(6 )) `

D

`(x ^(3))/(lfloor3)(lnx -(5)/(6))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|5 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|29 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|16 Videos

  • HYPERBOLA

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|3 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|6 Videos

Similar Questions

Explore conceptually related problems

If f(x)=cos x-int_(0)^(x)(x-t)f(t)dt, then f'(x)+f(x) equals

If f(x)=cos-int_(0)^(x)(x-t)f(t)dt, then f'(x)+f(x) equals

Let f(x) = int_(0)^(x)|2t-3|dt , then f is

If f(-x)+f(x)=0 then int_(a)^(x)f(t)dt is

Let f(x)=int_(0)^(x)(sint)/(t)dt(x gt 0) then f(x) has (n in N)

If f(x) =int_(x)^(-1) |t|dt , then for any x ge 0 , f(x) equals

Let f(x)=int_(0)^(x)cos((t^(2)+2t+1)/(5))dt0>x>2 then f(x)

If f(x)=int_(0)^(x)(sin^(4)t+cos^(4)t)dt, then f(x+pi) will be equal to

VK JAISWAL-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (COMPREHENSION TYPE PROBLEMS)
  1. Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx an...

    Text Solution

    |

  2. Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx an...

    Text Solution

    |

  3. Let f(x) be a non-constant twice differentiable function defined on (o...

    Text Solution

    |

  4. Let f (x) be a twice differentiable function defined on (-oo,oo) such ...

    Text Solution

    |

  5. Let f(x) be a non-constant twice differentiable function defined on (-...

    Text Solution

    |

  6. Consider the function f (x) and g (x), both defined from R to R f (x...

    Text Solution

    |

  7. Consider the function f (x) and g (x), both defined from R to R f (x...

    Text Solution

    |

  8. Consider the function f (x) and g (x), both defined from R to R f (x...

    Text Solution

    |

  9. Let f (x) be function defined on [0,1] such that f (1)=0 and for any ...

    Text Solution

    |

  10. Let f (x) be function defined on [0,1] such that f (1)=0 and for any ...

    Text Solution

    |

  11. Let f (x) be function defined on [0,1] such that f (1)=0 and for any ...

    Text Solution

    |

  12. Let f (a)(x) =In x and for n ge 0 and x gt 0 Let f (a)(x) = int (0)...

    Text Solution

    |

  13. int( x^2+4)/(x^2+1)dx

    Text Solution

    |

  14. Let f :R to [(3)/(4), oo) be a surjective quadratic function with line...

    Text Solution

    |

  15. Let f :R to [(3)/(4), oo) be a surjective quadratic function with line...

    Text Solution

    |

  16. Let g (x ) = x ^(C )e ^(Cx) and f (x) = int (0)^(x) te ^(2r) (1+3t ^(2...

    Text Solution

    |

  17. Let g (x ) = x ^(C )e ^(Cx) and f (x) = int (0)^(x) te ^(2t) (1+3t ^(2...

    Text Solution

    |