Home
Class 12
MATHS
If the value of the definite integral in...

If the value of the definite integral `int_0^1(sin^(-1)sqrt(x))/(x^2-x+1)dx` is `(pi^2)/(sqrt(n))` (where `n in N),` then the value of `n/(27)` is

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 the definite integrals int_0^1 (dx)/(sqrt(1+x)-sqrt(x))

Evaluate the definite integrals int_0^1 (dx)/(sqrt(1+x)-sqrt(x))

The value of the definite integral int_(0)^(pi//3) ln (1+ sqrt3tan x )dx equals

Evaluate the following definite integral: int_0^2 1/(sqrt(3+2x-x^2))dx

The value of the definite integral int_0^(pi/2) ((1+sin3x)/(1+2sinx)) dx equals to

Evaluate the following definite integral: int_0^(1//2)1/(sqrt(1-x^2))dx

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

The value of the definite integral int_(0)^(2npi) max (sinx,sin^(-1)( sinx)) dx equals to (where, n in l)

If the value of the definite integral int_0^1 "^(207)C_7x^(200)(1-x)^7dx is equal to 1/k ,w h e r ek in N , then the value of k/(26) is____

The value of the definite integral int_(0)^(2) (sqrt(1+x ^(3))+""^(3) sqrt(x ^(2)+ 2x)) dx is :

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The value of ((1+t a n 11^0)(1+t a n 34^0))/((1+t a n 17^0)(1+t a n 28...

    Text Solution

    |

  2. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  3. If the value of the definite integral int0^1(sin^(-1)sqrt(x))/(x^2-x+1...

    Text Solution

    |

  4. The value of sum(r=1)^oocot^(- 1)((r^2)/2+15/8) is equal to

    Text Solution

    |

  5. cos^(2)73^(@)+cos^(2)47^(@)-sin^(2)43^(@)+sin^(2)107^(@) is equal to

    Text Solution

    |

  6. The area bounded by the curve y=|cos^(-1)(sinx)|-|sin^(-1)(cosx)| and ...

    Text Solution

    |

  7. If the value of definite integral int(1)^(a)x.a^([log(a)x])d x, wher...

    Text Solution

    |

  8. Statement 1: If x ,y ,z are the sides of a triangle such that x+y+z=1,...

    Text Solution

    |

  9. L e tJ=int(-5)^(-4)(3-x^2)tan(3-x^2)dx and K=int(-2)^(-1)(6-6x+x^2) t...

    Text Solution

    |

  10. Find the sum (1^4)/(1xx3)+(2^4)/(3xx5)+(3^4)/(5xx7)++(n^4)/((2n-1)(2n+...

    Text Solution

    |

  11. Let C be a curve passing through M(2,2) such that the slope of the tan...

    Text Solution

    |

  12. The equation of the curve is y-f(x). The tangents at [1,f(1)[,[2,f(2)]...

    Text Solution

    |

  13. if sin x +sin^2 x = 1 then cos^12 x+ 3 cos^10 x + 3 cos^8 x + cos ^6 ...

    Text Solution

    |

  14. The value of 2^(2010)(int0 1x^(1004)(1-x)^(1004)dx)/(int0 1x^(1004)(1...

    Text Solution

    |

  15. if (x-a)(x-5)+2=0 has only integral roots where a in I , then value o...

    Text Solution

    |

  16. Let f be a differentiable function satisfying the condition f ((x)/(y)...

    Text Solution

    |

  17. A point z moves on the curve |z-4-3i| =2 in an argand plane. The maxim...

    Text Solution

    |

  18. If alpha, beta and gamma are the roots of the equation x^(3)-px^(2)+qx...

    Text Solution

    |

  19. If f(x) is a continuous function AAx in R , then which of the followi...

    Text Solution

    |

  20. Statement 1: If|x+3|+5=|x+8|t h e nxgeq-3 Statement 2: |a|+|b|=|a+b...

    Text Solution

    |