Home
Class 12
MATHS
Evaluate: int0^oo(dx)/(1+x^2)...

Evaluate: `int_0^oo(dx)/(1+x^2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

Evaluate int_(0)^(oo)[(3)/(x^(2)+1)]dx where [.] denotes the greatest integer function.

Evaluate: int_0^1(1)/((1+x^2)sqrt(1-x^2))dx

If n gt 1 . Evaluate int_(0)^(oo)(dx)/((x+sqrt(1+x^(2)))^(n))

The value of int_0^oo (dx)/(1+x^4) is

If ngt1 , evaluate: int_0^oo1/(x+sqrt(1+x^2))^ndx

Evaluate: int_0^oo1/((x^2+a^2)(x^2+b^2))dxdot

Evaluate: int_0^1(2-x^2)/((1+x)sqrt(1-x^2))dx

Evaluate int_0^1(dx)/((5+2x-2x^2)(1+e^(2-4x))) dx

Evaluate: int_0^2(dx)/((17+8x-4x^2)[e^(6(1-x))+1)

Evaluate: int_0^1 1/(1+x^2)\ dx

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Find the value of int0^1 2x^3-3x^2-x+1 3dxdot

    Text Solution

    |

  2. If int0^oox^(2n+1)dote^(-x^2)dx=360 , then the value of n is

    Text Solution

    |

  3. Evaluate: int0^oo(dx)/(1+x^2)

    Text Solution

    |

  4. Iflambda=int0^(pi/2)costhetaf(sintheta+cos^2theta)dtheta a n dI2=int0...

    Text Solution

    |

  5. If f(a+b-x)=f(x), then prove that inta^b xf(x)dx=(a+b)/2inta^bf...

    Text Solution

    |

  6. Let I1=int(-2)^2(x^6+3x^5+7x^4)/(x^4+2)dx and I2=int(-3)^1(2(x+1)^2+1...

    Text Solution

    |

  7. Find the value of int0^(pi/2)sin2xdx

    Text Solution

    |

  8. The value of int0^(pi/2)cos^2xdx

    Text Solution

    |

  9. prove that |sint| is non-differentiable at t=pi.

    Text Solution

    |

  10. Find the value of int0^1x(1-x)dx

    Text Solution

    |

  11. Let Sn=sum(k=0)^n n/(n^2+kn+k^2) and Tn=sum(k=0)^(n-1) n/(n^2+kn+k^2) ...

    Text Solution

    |

  12. The value of the definite integral int(sqrt2-1)^(sqrt(2)+1)(x^4+x^2+2...

    Text Solution

    |

  13. If a continuous function f on [0, a] satisfies f(x)f(a-x)=1, a >0, the...

    Text Solution

    |

  14. 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

    |

  15. Let g(x) be differentiable on R and int(sint)^1x^2g(x)dx=(1-sint), wh...

    Text Solution

    |

  16. Show that ("lim")(n vec oo)(1/(n+1)+1/(n+2)++1/(6n))=log6

    Text Solution

    |

  17. int(-pi/3)^0[cot^(-1)(2/(2cosx-1))+cot^(-1)(cosx-1/2)]dx i s equal to...

    Text Solution

    |

  18. Ifint(-pi/4)^((3pi)/4)(e^(pi/4)dx)/((e^x+e^(pi/4))(sinx+cosx))=kint(-p...

    Text Solution

    |

  19. If f(x) =(e^x)/(1+e^x), I1=int(f(-a))^(f(a)) xg(x(1-x))dx, and I2=int(...

    Text Solution

    |

  20. If f(y)=e^y ,g(y) = y>0,a n d \ F(t)=int0^t f(t-y)g(y)dy ,then

    Text Solution

    |