Home
Class 12
MATHS
If int[(x/e)^x+(e/x)^x]lnxdx=A(x/e)^x+B(...

If `int[(x/e)^x+(e/x)^x]lnxdx=A(x/e)^x+B(e/x)^x+C` then the value of `A+B` is____

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

int e^x sin(e^x) dx

If int((x-1)/(x^2))e^x\ dx=f(x)\ e^x+C , then write the value of f(x) .

If int((x-1)/(x^2))e^x dx=f(x)e^x+c , then write the value of f(x) .

int (e^x +2x)/(e^x+x^2) dx

inte^x/(e^x+e^(-x))dx

int{((x)/(e))^(x)+((e)/(x))^(x)}log_(e)^(x)dx=

int(e^x)/((1+e^x)(2+e^x))dx

inte^x/((1+e^x)(e+e^x))dx

int (e^(x))/(e^(x) + e^(-x))dx

Evaluate: int((e/x)^x+(x/e)^x)lnx \ dx .

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. "If " f(x)=sqrt(x),g(x)=e^(x)-1, " and " int fog(x)dx=A fog(x)+B tan^(...

    Text Solution

    |

  2. If int(2cosx-sinx+lambda)/(cosx+sinx-2)dx=Aln|cosx+sinx-2|+B x+C , the...

    Text Solution

    |

  3. If int[(x/e)^x+(e/x)^x]lnxdx=A(x/e)^x+B(e/x)^x+C then the value of A+B...

    Text Solution

    |

  4. Evaluate: int(sinx)/(sinx-cosx)dx

    Text Solution

    |

  5. Evaluate: int((x-1)e^x)/((x+1)^3)dx

    Text Solution

    |

  6. Evaluate: int(dx)/(x^2(x^4+1)^(3/4))

    Text Solution

    |

  7. Ifintxlog(1+1/x)dx=f(x)log(x+1)+g(x)x^2+A x+C , then (a)f(x)=1/2x^2 ...

    Text Solution

    |

  8. IfI=int(dx)/(x^3sqrt(x^2-1)),t h e nIe q u a l s a. 1/2((sqrt(x^2-1...

    Text Solution

    |

  9. The value of int(a x^2-b)/(xsqrt(c^2x^2-(a x^2+b)^2)) (a) 1/csin^(-...

    Text Solution

    |

  10. Ifint(dx)/(cos^3xsqrt(sin2x))=a(tan^2x+b)sqrt(tanx)+c ,t h e n (a) ...

    Text Solution

    |

  11. 4int(sqrt(a^6+x^8))/x dx is equal to (a)sqrt(a^6+x^8)+(a^3)/2ln|...

    Text Solution

    |

  12. "If " I=int e^(-x)log(e^(x)+1)dx, " then " I " equals "

    Text Solution

    |

  13. IfI(m , n)=intcos^m xsinn xdx , then 7I(4,3)-4I(3,2)" is equal to" (a...

    Text Solution

    |

  14. ifint(dx)/(x^2(x^n+1)^(((n-1)/n)) )=-[f(x)]^(1/n)+c ,t h e nf(x)i s ...

    Text Solution

    |

  15. Evaluate: int(sqrt(tanx)+sqrt(cotx))dx

    Text Solution

    |

  16. Evaluate: int(sqrt(cos2x))/(sinx)dx

    Text Solution

    |

  17. Ifintxe^xcosx dx=a e^x(b(1-x)sinx+c xcosx)+d ,t h e n (a) a=1,b=1,c=...

    Text Solution

    |

  18. If I=int sqrt((5-x)/(2+x)) dx, then equal

    Text Solution

    |

  19. Evaluate: int(x+1)/(x(1+x e^x)^2)dx

    Text Solution

    |

  20. Evaluate: intcos2thetaln((costheta+sintheta)/(costheta-sin theta))d th...

    Text Solution

    |