Home
Class 12
MATHS
The interval [a ,b] such that the value...

The interval `[a ,b]` such that the value of `int_a^b(2+x-x^2)dx` is maximum is a.`[-1,2]` b. `[-2,1]` c. `[-2,-1]` d. `[1,2]`

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

Evaluate: int1/(a^2-b^2x^2)dx

Evaluate: int1/(a^2x^2+b^2)dx

Evaluate: int1/(sqrt(a^2-b^2x^2))dx

The value of int_0^1tan^(-1)((2x-1)/(1+x-x^2))dx ,\ is a. 1 b. -1 c. 0 d. pi//4

The value of the integral int_(-2)^2|1-x^2|dx is a. 4 b. 2 c. -2 d. 0

Evaluate : int (1)/(b^(2) +a^(2)x^(2)) " dx "

The value of int_-2^3 |1-x^2|dx is (A) 7/3 (B) 14/3 (C) 28/3 (D) 1/3

Evaluate: (i) int1/(a^2-b^2\ x^2)\ dx (ii) int1/(a^2\ x^2-b^2)\ dx

Evaluate: (i) int1/(a^2-b^2\ x^2)\ dx (ii) int1/(a^2\ x^2-b^2)\ dx

Evaluate: (i) int1/(a^2\ x^2-b^2)\ dx (ii) int(x^2-1)/(x^2+4)\ dx

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt...

    Text Solution

    |

  2. If (1+3+5+7+…. (2p-1)) + (1+3+5+…..+ (2q-1)) = 1+3+5 +….+ (2r-1) , the...

    Text Solution

    |

  3. The interval [a ,b] such that the value of inta^b(2+x-x^2)dx is maxi...

    Text Solution

    |

  4. A curve C passes through (2,0) and the slope at (x , y) as ((x+1)^2...

    Text Solution

    |

  5. Let f(x)=int(1)^(x) sqrt(2-t^(2)) dt, then the real roots of the equa...

    Text Solution

    |

  6. Let f(x): R^+ to R^+ is an invertible function such that f^(prime)(...

    Text Solution

    |

  7. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

    Text Solution

    |

  8. Every body in a room shakes hands with every body else. The total numb...

    Text Solution

    |

  9. Area of figure represented by |x|+|y| <=3 and y^2 <= 4x is a....

    Text Solution

    |

  10. How many numbers divisible by 5 and lying between 4000 and 5000 can be...

    Text Solution

    |

  11. The gradient of the common tangent to the two curves y=x^2-5x+6 and y=...

    Text Solution

    |

  12. The tangent at the point P on the rectangular hyperbola x y=k^2 with C...

    Text Solution

    |

  13. The value of (int0^(pi//2)(sin x)^(sqrt(2)+1)dx)/(int0^(pi//2)(sin x)^...

    Text Solution

    |

  14. The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, )...

    Text Solution

    |

  15. If I(n)=int(0)^(pi//4) tan^(n)x dx, (ngt1 is an integer ), then (a) I(...

    Text Solution

    |

  16. The omega!= 1 is nth root unity, then value of sum(k=0)^(n-1)|z1+omega...

    Text Solution

    |

  17. The number of integral values of m for which the x-coordinate of the p...

    Text Solution

    |

  18. If tangent and normal to the curve y=2sinx+sinx2x are drawn at p(x=(pi...

    Text Solution

    |

  19. P and Q have position vectors a and b relative to the origin O and X,Y...

    Text Solution

    |

  20. If z1=10+6iandz2=4+2i be two complex numbers and z be a complex number...

    Text Solution

    |