Home
Class 12
MATHS
f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(...

`f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx` then f is …………

A

Increasing in `(0,oo)` and decreasing `(-oo,0)`

B

Decreasing in `(0,oo)` and increasing in `(-oo, 0)`

C

Increasing in `(-oo, oo)`

D

Decreasing `(-oo, oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos
  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos
  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos
  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

int(1+x^(2))/(sqrt(1-x^(2)))dx=...

int(x+1)/(sqrt(1+x^(2)))dx=...

Find int(xsin^(-1)x)/(sqrt(1-x^(2)))dx

int (1)/(sqrt(1-e^(2x)))dx=...

int(log(x+sqrt(1+x^(2))))/(sqrt(1+x^(2)))dx=....+c

Let f(x)= sqrt(1+x^(2)) then,

int sqrt(1+x^(2))dx=...

if: f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the range of f(x)

The domain of the function f(x)=sin^(-1)""(1)/abs(x^(2)-1)+1/sqrt(sin^(2)x+sinx+1) is

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. For …………… value of a, function f(x)=sin x-cos x - ax+b AA x in R is a ...

    Text Solution

    |

  2. Out of the following which statement is true for x in (0,1) ?

    Text Solution

    |

  3. f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then f is …………

    Text Solution

    |

  4. If f(x)=x^(3)+ax^(2)+bx+5sin^(2)x, AA x in R is an increasing function...

    Text Solution

    |

  5. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt 0, attains ...

    Text Solution

    |

  6. A rectangle has one side on the positive side of Y - axis and one side...

    Text Solution

    |

  7. The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local maximum at ……… a...

    Text Solution

    |

  8. Equation of line passing through a point (1, 4) and the sum of the int...

    Text Solution

    |

  9. p(x)=a(0)+a(1)x^(2)+a(2)x^(4)+…………+a(n)x^(2n) is a polynomial with rea...

    Text Solution

    |

  10. A tangent drawn to the curve x=e^(t)cos t, y=e^(t) sin t at t=(pi)/(4)...

    Text Solution

    |

  11. The approximate value of sin^(-1)(0.51) is ………..

    Text Solution

    |

  12. A stone is thrown in upward direction. Its equation is S=80 t-16 t^(2)...

    Text Solution

    |

  13. If there is an error 4% in the area of circle, then the error in radiu...

    Text Solution

    |

  14. An iron ball having 10 cm radius is covered equally with Ice. Ice is m...

    Text Solution

    |

  15. If x is a real number then maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+...

    Text Solution

    |

  16. The diagonal of a suare is increasing at the rate of 0.5 cm/sec. when ...

    Text Solution

    |

  17. If the curves ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 are orthogonally t...

    Text Solution

    |

  18. The tangent to the cureve xy+ax+by=0 at (1, 1) makes an angle with X -...

    Text Solution

    |

  19. The maximum value of 27^(cos(2x))xx81^(sin(2x)) is …………

    Text Solution

    |

  20. A balloon, which always remains spherical, has a variable diameter (3)...

    Text Solution

    |