Home
Class 12
MATHS
The value of the integral intalpha^beta ...

The value of the integral `int_alpha^beta 1/(sqrt((x-alpha)(beta-x)))dx`

A

`sin^(-1) alpha//beta`

B

`pi//2`

C

`sin^(-1) beta//2alpha`

D

`pi`.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2) Single Correct Answer Type Questions|38 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2) Numerical Answer Type Questions|19 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based) Single Correct Answer Type Questions|10 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

Similar Questions

Explore conceptually related problems

The value of the integral int_(alpha)^(beta) sqrt((x-alpha)(beta-x))dx , is

int(dx)/(sqrt((x-alpha)(beta-x)))

int _(alpha)^(beta) sqrt((x-alpha)/(beta -x)) dx is equal to

int(dx)/((x-alpha)sqrt((x-alpha)(x-beta)))

int(dx)/((x-beta)sqrt((x-alpha)(beta-x))) is

If alpha and beta are solutions of the equation 4log_(3)^(2)x-4log_(3)x^(2)+1=0 then the value of |(sqrt(alpha beta)+1)/(sqrt(alpha beta)-1)| is

int(dx)/(sin(x-alpha)sin(x-beta))

If the value of the integral int_0^5 (x + [x])/(e^(x - [x])) dx = alphae^(-1) + beta ,where alpha, beta in R, 5alpha + 6beta = 0, and [x] denotes the greatest integer less than or equal to x, then the value of (alpha + beta )^2 is equal to :

Evaluate: int(1)/((x-alpha)(beta-x))dx,(beta>alpha)

MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-EXERCISE (LEVEL 1) Single Correct Answer Type Questions
  1. The function F(x) = int(0)^(x) log (1-t)/( 1+t) dt is

    Text Solution

    |

  2. If f(n)=(1)/(n){(n+1)(n+2)(n+3)...(n+n)}^(1//n) then lim(n to oo)f(n)...

    Text Solution

    |

  3. The value of the integral intalpha^beta 1/(sqrt((x-alpha)(beta-x)))dx

    Text Solution

    |

  4. The value of the integral int0^(pi//3)(xsinx)/(cos^2x)\ dx is

    Text Solution

    |

  5. The value of underset(1//e)overset(tanx)int(t)/(1+t^(2))dt+underset(1/...

    Text Solution

    |

  6. The equation of the tangent to the curve y= int(x^4)^(x^6) (dt)/( sqrt...

    Text Solution

    |

  7. The value of int (-1)^(1) x|x| dx is

    Text Solution

    |

  8. The difference between the greatest and least values of the function ...

    Text Solution

    |

  9. Evaluate: ("lim")(xvecoo)((int0xe^x^2dx)^2)/(int0x e^(2x)^2dx)

    Text Solution

    |

  10. The absolute value of underset(10)overset(19)int (cosx)/(1+x^(8))dx, ...

    Text Solution

    |

  11. The value of the integral overset(3)underset(0)int (dx)/(sqrt(x+1)+sqr...

    Text Solution

    |

  12. Let f(x) = {x}, the fractional part of x then int(-1)^(1) f(x) dx is e...

    Text Solution

    |

  13. The value of int(-pi//2)^(pi//2) cos t sin (2t- pi//4) dt is

    Text Solution

    |

  14. int(0)^(oo)(x logx)/((1+x^(2))^(2)) dx=

    Text Solution

    |

  15. overset(1)underset(0)int |sin 2pi x|dx id equal to

    Text Solution

    |

  16. The value of lim(x->oo)(int0^x(tan^(-1)x)^2)/(sqrt(x^2+1))dx

    Text Solution

    |

  17. If A (t) = int(-1)^(t) e^(-|x|) dx, then lim( t to oo) A (t) is equal ...

    Text Solution

    |

  18. If the value of int(-2)^(2) | x cos pi x| dx = k//pi then the value of...

    Text Solution

    |

  19. The value of the integral underset(0)overset(pi)int (xdx)/(1+cos alpha...

    Text Solution

    |

  20. The value of lim( n to oo) ((1)/(n) + (n)/((n+1)^2) + (n)/( (n+2)^2) +...

    Text Solution

    |