Home
Class 12
MATHS
Compute the integrals: int(1/e)^e1/xsin(...

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

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)/(1+x^2)

Evaluate the follow integrals : int(e^(x)-1)/(e^(x)+1)dx

The value of the integral int_(-2)^(2)(1+2 sinx)e^(|x|)dx is equal to

int_(1)^(e)(1+logx)/(x)dx

The value of the integral int_(1)^(2)e^(x)(log_(e)x+(x+1)/(x))dx is-

The value of the integral int_(-1)^(1){(x^(2015))/(e^(|x|)(x^(2) + cos x)) + (1)/(e^(|x|))} dx is equal to

The integral int(1+x-1/x)e^(x+1/x)dx is equal to

The value of the integral int_0^(log5)(e^xsqrt(e^x-1))/(e^x+3)dx

Evaluate the follow integrals : int (dx)/(sqrt(e^(x)-1))

Evaluate the following definite integrals . int_(-1)^(1)e^(x)dx

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. Compute the integrals: int0^oof(x^n+x^(-n))logx(dx)/(1+x^2)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Ifint0^(npi)f(cos^2x)dx=kint0^pif(cos^2x)dx ,t h e nfin dt h ev a l u ...

    Text Solution

    |

  20. int(2-a)^(2+a)f(x)dx is equal to [where f(2-alpha)=f(2+alpha) AAalpha ...

    Text Solution

    |