Home
Class 12
MATHS
Let f :R to [(3)/(4), oo) be a surjectiv...

Let `f :R to [(3)/(4), oo)` be a surjective quadratic function with line of symmetry `2x -1=0 and f (1) =1`
If `g (x)=(f(x)+f(-x))/(2 ) then int (dx)/(sqrt(g (e ^(x))-2))`is equal to:

A

`sec ^(-1) (e ^(-x))+C`

B

`sec ^(-1) (e ^(x))+C`

C

`sin ^(-1) (e ^(-x)) +C`

D

`sin ^(-1) (e ^(x))+C`

Text Solution

Verified by Experts

The correct Answer is:
B
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

Let f :R to [(3)/(4), oo) be a surjective quadratic function with line of symmetry 2x -1=0 and f (1) =1 int (e ^(x))/(f (e ^(x)))dx

Let f : (-1,1) to R be a differentiabale function with f(0) = -1 and f'(0) = 1. Let g(x) = [f(2f(x)+2)]^(2) , then g'(0)=

Let f : (-1,1) to R be a differentiable function with f(0) =-1 and f'(0)=1 Let g(x)= [f(f(2x)+1)]^2 . Then g'(0)=

Let f:R rarr[4,oo) be an onto quadratic function whose leading coefficient is 1, such that f'(x)+f'(2-x)=0 Then the value of,int_(1)^(3)(dx)/(f(x)) is 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

    |