Home
Class 12
MATHS
The value of the integral int(0)^(1)(dx)...

The value of the integral `int_(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltalpha lt pi` is

A

`alpha//(2 sin alpha)`

B

`tan^(-1) ( sin alpha)`

C

`alpha sin alpha`

D

`(alpha//2) ( sin alpha)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions)|16 Videos

  • DEFINITE INTEGRALS

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

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1 ) Single Correct Answer Type Questions|62 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_(0)^(1)(dx)/(x^(2)+2xcosalpha+1) , where 0 lt alpha lt (pi)/(2) , is equal to :

The value of the integral int_(0)^(pi) (xdx)/(1+cos alpha sinx), 0 lt alpha lt pi , is

The value of the integral int_(0)^(2)|x^(2)-1|dx is

The value of the integral int_(0)^(pi)(1-|sin 8x|)dx is

The value of the integral int_(0)^(pi) | sin 2x| dx is

The value of the integral int_(0)^(pi)(1)/(a^(2)-2a cos x+1)dx (a gt1) , is

The value of the integral int_(0) ^(pi//2) sin ^3 x dx is :

The value of the integral int_(0)^(pi//2) sin^(6) x dx , is

The value of the integral int_(0)^(pi) (x sin x)/(1+cos^(2)x)dx , is

MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-SOLVED EXAMPLES (LEVEL 2 ) Single Correct Answer Type Questions
  1. int(-1/sqrt3)^(-1/sqrt3)(x^4)/(1-x^4)cos^(- 1)((2x)/(1+x^2))dx

    Text Solution

    |

  2. The value of int(0)^(pi//2) sqrt( sin 2 theta) sin theta d theta is

    Text Solution

    |

  3. Given I(m) = int(1)^(e ) (log x)^(m) dx. If (Im)/( K) + (l(m-2) )/(L) ...

    Text Solution

    |

  4. If f(x) = pe^(2x) + qe^x + rx satisfies the condition f(0)=-1, f' (I...

    Text Solution

    |

  5. The value of the integral int(0)^(1)(dx)/(x^(2)+2x cos alpha +1),0ltal...

    Text Solution

    |

  6. The value of the integral int0^oo(xlogx)/((1+x^2)^2)dxi s 0 (b) log ...

    Text Solution

    |

  7. If i is the greatest of the definite integrals I1=int0^1 e^-x cos ^2 ...

    Text Solution

    |

  8. v34

    Text Solution

    |

  9. int(-1)^(1)(d)/(dx)[tan^(-1)((1)/(x))]dx=

    Text Solution

    |

  10. T h ev a l u eofint0^pi(sin(1+1/2)x)/(sin(x/2))dxi s ,n in I ,ngeq0 ...

    Text Solution

    |

  11. The equation of tangent to the curve y=int(x^2)^(x^3)(dt)/(1+t^2) at x...

    Text Solution

    |

  12. The mean value of the function f(x) = (1)/( x^2 + x) on the interval [...

    Text Solution

    |

  13. Evaluate : int1^16tan^(- 1)sqrt(sqrt(x)-1)dx

    Text Solution

    |

  14. Let g (x) = int(0)^(x) f(t) dt , where f is such that (1)/(2) le f (t...

    Text Solution

    |

  15. A function f is defined by f(x)=1/(2^(r-1)),1/(2^r),<xlt=1/(2^(r-1)),r...

    Text Solution

    |

  16. If y= int(1)^(t^3) root(3)(z) log z dz and x = int(sqrtt)^(3) z^(2) l...

    Text Solution

    |

  17. Let I(1) = int(4)^(5) e^((x -5)^(2)) dx and I(2) = 3 int(1//3)^(2//3) ...

    Text Solution

    |

  18. A line tangent to the graph of the function y =f(x) at the point x = a...

    Text Solution

    |

  19. The value of underset(pi)overset(2pi)int [ 2 sin x] dx, where [] repre...

    Text Solution

    |

  20. For x in R and a continuous functio f(x) , let I(1)underset(sin^(2)t)o...

    Text Solution

    |