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

If the value of the definite integral `int ^(-1) ^(1) cos ^(-1) ((1)/(sqrt(1-x ^(2)))) . (cot ^(-1)""(x )/(sqrt (1-(x ^(2))^(|x|))))dx = (pi^(2)(sqrta-sqrtb))/(sqrtc)` where `a,b,c in N` in their lowest from, then find the value of `(a+b+c).`

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

The value of the definite integral int_(-1)^(1)(1+x)^(1//2)(1-x)^(3//2)dx equals

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

The value of the definite integral int _(-(pi//2))^(pi//2)(cos ^(2) x )/(1+ 5 ^(x)) equal to:

The value of the integral int_(-1//2)^(1//2) cos x log((1+x)/(1-x))dx , is

The value of the integral int_(-1)^(1)log(x+sqrt(x^(2)+1))dx is

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))

Evaluate the definite integral int_(pi/2)^(pi) e^x[(1-sin x)/(1-cos x)] dx

The value of the integral I=int_(1)^(oo) (x^(2)-2)/(x^(3)sqrt(x^(2)-1))dx , is

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The value of int(-2)^1([x]+|x-3|)dx is (where [.] denotes greatest int...

    Text Solution

    |

  2. If z1,z2,z3,z4 be the vertices of a quadrilaterla taken in order such ...

    Text Solution

    |

  3. If the value of the definite integral int ^(-1) ^(1) cos ^(-1) ((1)/(s...

    Text Solution

    |

  4. The real value of k so that the lines x+k y+2=0 3x+2y+1=0 2x+y+2=0" ...

    Text Solution

    |

  5. If 9(27)^(x^2+y+z)+9(27)^(x+y+z^2)+9(27)^(x+y^2+z)=11 then find the nu...

    Text Solution

    |

  6. 2sin^(2)theta + 3 costheta =0

    Text Solution

    |

  7. Evaluate: int(dx)/((x+1)sqrt(1+x-x^(2))

    Text Solution

    |

  8. Two complex numbers z1a n dz2 have relation R such that z1Rz2, arg(z1...

    Text Solution

    |

  9. Let f(x) be a non-constant twice differentiable function defined on (-...

    Text Solution

    |

  10. Consider quadratic equations x^(2)-ax+b=0……….(i) and x^(2)+px+q=0……….(...

    Text Solution

    |

  11. Number of points where the function f(x)=|x^2-3x+2|+"cos"|x| is not di...

    Text Solution

    |

  12. Let f(x) be an onto function defined from [0, 2] to [3, 5] . hich of...

    Text Solution

    |

  13. int0^(pi/2) sin^3x/(sin^3x+cos^3x)dx

    Text Solution

    |

  14. The value of sin^(-1)("cot"(sin^(-1)((2-sqrt(3))/4+cos^(-1)(sqrt(12))...

    Text Solution

    |

  15. A particle moves along the parabola y=x^(2) in the first quadrant in s...

    Text Solution

    |

  16. The area bounded by y=3-|3-x| and y=(6)/(|x+1|) is

    Text Solution

    |

  17. If A B=A ,B A=B then (A+B)^n= (where n in N) (1)(A^2+B^2) (2) (A+B)...

    Text Solution

    |

  18. If sum(i=1)^5xi^2=40&sum(j=6)^(10)xj^2=20 and mean of x1,x2, ...,x5 ...

    Text Solution

    |

  19. In any triangle ABC (with usual notation), Let cotA=sqrt(a c),cot B=s...

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |