Home
Class 12
MATHS
intxsin^(- 1)[1/2sqrt((2a-x)/a)]dx...

`intxsin^(- 1)[1/2sqrt((2a-x)/a)]dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi a ^(2))//(4)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-I|15 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -2 (LEVEL-II)|11 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

Similar Questions

Explore conceptually related problems

int x sin^(-1)[(1)/(2)sqrt((2a-x)/(a))]dx

int(2x-1)/(sqrt(x^(2)-x-1))dx

int(2x-1)/(sqrt(x^(2)-x+1))dx

int((2x-1))/(sqrt(x^(2)-x-1))dx

intxsin x dx=

int(e^x[1+sqrt(1-x^2)sin^-1x])/sqrt(1-x^2)dx

int(1)/(sqrt(x+2)-sqrt(x+1))dx

int(1)/(sqrt(x+2)-sqrt(x+1))dx

int(1)/(sqrt(x+2)-sqrt(x+1))dx

int(1)/(sqrt(x+2)-sqrt(x+1))dx

MOTION-DEFINITE INTEGRATION -EXERCISE -3
  1. int (0) ^(pi) ((ax +b) sec c tan x)/(4 + tan ^(2) x ) dx (a,b gt 0)

    Text Solution

    |

  2. int0^pi((2x+3)sinx)/((1+cos^2x)dx

    Text Solution

    |

  3. intxsin^(- 1)[1/2sqrt((2a-x)/a)]dx

    Text Solution

    |

  4. f,g, h , are continuous in [0, a],f(a-x)=f(x),g(a-x)=-g(x),3h(x)-4h(a-...

    Text Solution

    |

  5. Evaluate int0^1(dx)/((5+2x-2x^2)(1+e^(2-4x))) dx

    Text Solution

    |

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

    Text Solution

    |

  7. int (0) ^(pi//4) (x ^(2) (sin 2x -cos 2x ))/((1+ sin 2x ) cos ^(2) x) ...

    Text Solution

    |

  8. Evaluate: int ( 0 ) ^(pi) e ^(|cos x|)( 2 sin ((1)/(2)cos x )+ 3 cos...

    Text Solution

    |

  9. It is known that f(x) is an odd function in the interval [p/2, p/2] an...

    Text Solution

    |

  10. The value of int(-1)^2{2x}dx is (where function () denotes fractional ...

    Text Solution

    |

  11. If y=x^(int1^x ln t dt), find (dy)/(dx) at x=e.

    Text Solution

    |

  12. Evaluate (lim)(n->oo)n^2int(-1//n)^(1//n)(2010 s in x+2012cosx)|x|d...

    Text Solution

    |

  13. Prove the following inequalty sqrt3/8<int(pi/4)^(pi/3)sinx/x dx<sqrt2/...

    Text Solution

    |

  14. Prove that 4le int(1)^(3) sqrt(3+x^(3)) dx le 2sqrt30.

    Text Solution

    |

  15. Prove that pi/6<int0^1(dx)/(sqrt(4-x^2-x^3))<pi/(4sqrt(2))

    Text Solution

    |

  16. prove it 2e^(-1/4) < int0^2e^(x^2-x)dx < 2e^2

    Text Solution

    |

  17. If a lt overset(2pi)underset(0)int (1)/(10+3 cos x)dx lt b. Then the o...

    Text Solution

    |

  18. Prove the inequalities 1/2 le int (0) ^(2) (dx)/(2+x ^(2)) le 5/6

    Text Solution

    |

  19. Evaluate lim ( n to oo) sum( r =1) ^(n -1) (1)/(sqrt(n ^(2) -r ^(2))...

    Text Solution

    |

  20. lim(n->oo) 3/n[1+sqrt(n/(n+3)) + sqrt(n/(n+6)) + sqrt(n/(n+9)) +.........

    Text Solution

    |