Home
Class 12
MATHS
Let f(x)=[b^(2)+(a-1)b+2]x-int(sin^(2)x+...

Let `f(x)=[b^(2)+(a-1)b+2]x-int(sin^(2)x+cos^(4)x)dx` be an increasing function of `x""inRandbinR`, then "`a`" can take value(s)

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

int(1)/(sin^(2)x-4 cos^(2)x)dx

int(sin2x)/((1+cos2x)^(2))dx

int(2+sin2x)/(1+cos2 x)dx

Let f(x)={b^(2)+(a-1)b-(1)/(4)}x+int_(0)^(x)(sin^(4)theta+cos^(4)theta)d theta If f(x) be a non- decreasing function AA x in R and AA b in R then "a" can belong to

Let f(x)=x^3+kx^2+5x+4sin^2x be an increasing function on x in R. Then domain of k is

The function f(x) = sin ^(4)x+ cos ^(4)x increases, if

Let f(x)=x^3+a x^2+b x+5sin^2x be an increasing function on the set Rdot Then find the condition on a and b .

int(sin^(8)x-cos^(8)x)/(1-2sin^(2)x cos^(2)x)dx

int(sinx. cos x)/(a^(2) cos^(2) x+b^(2) sin^(2) x)dx

4. int(dx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. From any point on any directrix of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  2. Number of positive solution which satisfy the equation (log)2xdot(log)...

    Text Solution

    |

  3. Let f(x)=[b^(2)+(a-1)b+2]x-int(sin^(2)x+cos^(4)x)dx be an increasing f...

    Text Solution

    |

  4. Solve (x^2-7x+12)/(2x^2-4x+5)>0

    Text Solution

    |

  5. Product of real roots of the equation t^2x^2+|x|+9=0 a. is always +ve...

    Text Solution

    |

  6. If z = sec^(-1) (x + (1)/(x)) + sec^(-1) (y + (1)/(y)), where xy lt 0,...

    Text Solution

    |

  7. If n is an odd integer, then show that n^(2)-1 is divisible by 8.

    Text Solution

    |

  8. Find the largest positive term of the H.P.. Whose first two term are 2...

    Text Solution

    |

  9. If the tangent at any point P on the curve x^m y^n = a^(m+n), mn != 0...

    Text Solution

    |

  10. The value of cos^(-1)(cos(2tan^(-1)((sqrt(3)+1)/(sqrt(4-2sqrt(3))))))...

    Text Solution

    |

  11. int0^(3"pi"//2)sin[(2x)/pi]"dxw h e r e"[dot] denotes the greatest int...

    Text Solution

    |

  12. Which of the following when simplified reduces to unity ?

    Text Solution

    |

  13. A line L is perpendicular to the line 3x-4y-7=0 and touches the circle...

    Text Solution

    |

  14. Let f (x) and g (x) be two differentiable functions, defined as: f (...

    Text Solution

    |

  15. Determine the domain and range of the relation R. R={(x+1,x+5)|x in{...

    Text Solution

    |

  16. Sixteen players P(1),P(2),P(3)….., P(16) play in tournament. If they g...

    Text Solution

    |

  17. Let f(x) be a polynomial of degree 3 such that f(3)=1, f'(3)=-1, f''(3...

    Text Solution

    |

  18. Describe the following set by set property method {0,3,8,15 ,24 ,35}

    Text Solution

    |

  19. Let f(x) have a point of inflection at x=1 and let f^(")(x)=x. If f^('...

    Text Solution

    |

  20. In a circle, chords AB and CD intersect at a point R inside the circle...

    Text Solution

    |