Home
Class 12
MATHS
Compute the integrals: int0^oof(x^n+x^(-...

Compute the integrals: `int_0^oof(x^n+x^(-n))logx(dx)/(1+x^2)`

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

Compute the integrals: int_0^oof(x^n+x^(-n))logx(dx)/x

Compute the integrals: int_(1/e)^e1/xsin(x-1/x)dx

Evaluate the definite integrals int_(0)^(1)(dx)/(1+x^(2))

The value of the integral int_0^1e^(x^2)dx

Evaluate the following integrals : int x^(4)(logx)^(2)dx

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

int_(0)^(1)x(1-x)^(n)dx

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

The integral int_(2)^(4)(logx^(2))/(logx^(2)+log(36-12x+x^(2)))dx is equal to-

Prove that int_0^1tan^(-1)(1/(1-x+x^2))dx=2int_0^1tan^(-1)x dx . Hence or otherwise, evaluate the integral int_0^1tan^(-1)(1-x+x^2)dx

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Compute the integrals: int0^oof(x^n+x^(-n))logx(dx)/x

    Text Solution

    |

  2. If for a real number y ,[y] is the greatest integral function less, th...

    Text Solution

    |

  3. Compute the integrals: int0^oof(x^n+x^(-n))logx(dx)/(1+x^2)

    Text Solution

    |

  4. If int0^x {int0^u f(t) dt}du is equal to (a) int0^x (x-u) f(u) (b) ...

    Text Solution

    |

  5. Compute the integrals: int(1/e)^e1/xsin(x-1/x)dx

    Text Solution

    |

  6. STATEMENT 1: int0^pixsinxcos^2xdx=pi/2int0^pisinxcos^2x dx. STATEMEN...

    Text Solution

    |

  7. Evaluate: int0^(pi/2)xcosx dx

    Text Solution

    |

  8. Evaluate: int0^(pi/4)(sinx+cosx)/(9+16sin2x)dx

    Text Solution

    |

  9. Evaluate: int(-pi//4)^(pi//4)log(sinx+cosx)dx

    Text Solution

    |

  10. If alpha,beta(beta>alpha), are the roots of g(x)=a x^2+b x+c=0 and f...

    Text Solution

    |

  11. Consider the function f(x) satisfying the relation f(x+1)+f(x+7)=0AAx ...

    Text Solution

    |

  12. Let f: RvecR be a differentiable function having f(2)=6,f^(prime)(2)=1...

    Text Solution

    |

  13. Ifint(sinx)^1t^2f(t)dt=1-sinx ,w h e r e .x in (0,pi/2), then find th...

    Text Solution

    |

  14. Prove that inta^bf(x)dx=int(a+c)^(b+c)f(x-c)dx , and when f(x) is odd ...

    Text Solution

    |

  15. Evaluate: int0^(100pi)sqrt((1-cos2x))dxdot

    Text Solution

    |

  16. Evaluate: int0^pi(x dx)/(1+cosalphasinx),w h e r e0ltalphaltpidot

    Text Solution

    |

  17. Evaluate : int0^(pi/4)(sinxcosx)/(sin^4x+cos^4x)\ dx

    Text Solution

    |

  18. A periodic function with period 1 is integrable over any finite interv...

    Text Solution

    |

  19. Evaluate: intcos^3xe^(logsinx)dx

    Text Solution

    |

  20. The value of the integral int(-(3pi)/4)^((5pi)/4)((sinx+cosx)/(e^(x-pi...

    Text Solution

    |