Home
Class 12
MATHS
If I = int0^2 (e^x)^4 (x - alpha) dx = 0...

If `I = int_0^2 (e^x)^4 (x - alpha) dx = 0`, then `alpha` lies in the interval

A

(0,2)

B

`(-1,0)`

C

(2,3)

D

(-2,-1)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY & DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|13 Videos
  • DETERMINATES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(1)2e^(x)dx

If the point (2a,a) lies inside the parabola x^(2) -2x - 4y +3 = 0 , then a lies in the interval

If int_0^1 e^(x^2)(x-alpha)dx=0 , then (a) alphalt2 (b) alphalt0 (c)"" 0ltalphalt1 (d) alpha="0

int (cos x)/(cos (x+alpha))dx

int_0^(pi/2) e^x dx is equal to

int_(0)^(1)e^(2x)e^(e^(x) dx

int_(0)^(pi)( x dx)/(1+cos alpha sin x)[0 lt alpha lt pi]

log_(0.5)log_5(x^2-4)gtlog_(0.5)1 , then 'x' lies in the interval

int dx/(cos x + cos alpha)

If int sinx/sin(x-alpha) dx = Ax + B log sin(x - alpha) + c

PATHFINDER-DEFINITE INTEGRATION-QUESTION BANK
  1. Match List - I with List - II

    Text Solution

    |

  2. The integral int0^pi sqrt(1 + 4 sin^2(x/2) - 4 sin (x/2)) dx equals :

    Text Solution

    |

  3. If I = int0^2 (e^x)^4 (x - alpha) dx = 0, then alpha lies in the inter...

    Text Solution

    |

  4. Suppose M = int0^(pi/2) cosx/(x+2) dx , N = int0^(pi/4) sinxcosx/(x+1)...

    Text Solution

    |

  5. Let f(x) = max{x + absx, x - [x]}, where [x] de notes the greatest int...

    Text Solution

    |

  6. Let f(x) = {(int0^x abs(1 - t) dt , x gt 1),(x - 1/2 , x le 1):} Then

    Text Solution

    |

  7. Statement - 1 : The value of the integral int(pi/6)^(pi/3) dx/(1 + s...

    Text Solution

    |

  8. The value of the integral int-1^+1 { x^2013/(e^absx (x^2 + cos x)) +...

    Text Solution

    |

  9. The value of I = int0^(pi/4) (tan^(n+1)x)dx + 1/2 int0^(pi/2) tan^(n-1...

    Text Solution

    |

  10. The value of the integral int1^2 e^x (loge x + (x+1)/x)dx is

    Text Solution

    |

  11. Let [a] denote the greatest integer which is less than or equal to a. ...

    Text Solution

    |

  12. The value of the integral int (sin x - x cos x)/(x(x + sin x)) dx is e...

    Text Solution

    |

  13. Let F(x) =int0^x (cos t)/(1 + t^2) dt , 0 le x le 2pi. Then

    Text Solution

    |

  14. The value of the integral int(-pi/2)^(pi/2) (x^2 + In(pi + x)/(pi - x)...

    Text Solution

    |

  15. If g(x)=int0^x cos^4t dt, then g(x + pi) equals

    Text Solution

    |

  16. The value of the integral int(pi/6)^(pi/2) ((1 + sin 2x + cos 2x)/(sin...

    Text Solution

    |

  17. The value of the integral int0^(pi/2) 1/(1 + (tanx)^101) dx is equal t...

    Text Solution

    |

  18. The value of the integral int0^(pi/4) (sin x + cos x)/(3 + sin 2x) dx ...

    Text Solution

    |

  19. The value of the integral int-2^2 (1 + 2 sin x) e^absx dx is equal to

    Text Solution

    |

  20. The value of the integral int1^5 [abs(x-3) + abs(1-x)] dx is equal to

    Text Solution

    |