Home
Class 12
MATHS
Evaluate: int(e^(5(log)e x)-e^(4(log)e...

Evaluate: `int(e^(5(log)_e x)-e^(4(log)_ex))/(e^(3(log)_e x)-e^(2logx))dx`

Text Solution

AI Generated Solution

To evaluate the integral \[ \int \frac{e^{5 \log_e x} - e^{4 \log_e x}}{e^{3 \log_e x} - e^{2 \log_e x}} \, dx, \] we can simplify the expression using properties of logarithms and exponents. ...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int(e^(5)(log)_(e)x-e^(4)(log)_(e)x)/(e^(3)(log)_(e)x-e^(2)(log)_(e^(x))x)dx

Evaluate: int(e^(6)(log)_(e)x-e^(5)(log)_(e)x)/(e^(4)(log)_(e)x-e^(3)(log)_(e^(x))x)dx

int(e^(6log x)-e^(5log x))/(e^(5log x)-e^(3log x))dx

Evaluate int e^(log_ex)dx

The value of int(e^(6log x)-e^(5log x))/(e^(4log x)-e^(3log x))dx is equal

int(e^(6log_(e)x)-e^(5log_(e)x))/(e^(4log_(e)xe^(3log_(e)x))) backslash dx

Integrate the functions (e^(5log x)-e^(4log x))/(e^(2log x)-e^(2log x))

Evaluate int 5^(log _(e)x)dx

Evaluate: int_e^(e^2) (dx)/(x log x)

int(e^(x log a)+e^(a log x))dx

RD SHARMA-INDEFINITE INTEGRALS-Solved Examples And Exercises
  1. Evaluate: intsqrt(3-2x-2x^2)dx

    Text Solution

    |

  2. E v a l u a t e:int(x^4+x^2+1)/(x^2-x+1)dxdot

    Text Solution

    |

  3. Evaluate: int(e^(5(log)e x)-e^(4(log)ex))/(e^(3(log)e x)-e^(2logx))d...

    Text Solution

    |

  4. Evaluate: inte^(2x)((1+sin2x)/(1+cos2x))dx

    Text Solution

    |

  5. Evaluate int(3cosx+2)/(sinx+2cosx+3)dx

    Text Solution

    |

  6. Evaluate : int1/(1+cos x)dx

    Text Solution

    |

  7. Evaluate the following integrals: intx^4\ dx (ii) intsqrt(x)\ dx

    Text Solution

    |

  8. Evaluate the following integrals: int1/(sqrt(x))\ dx (ii) int1/(x^3...

    Text Solution

    |

  9. Evaluate: int(e^(5\ (log)e x)-e^(4\ (log)e x))/(e^(3\ (log)e x)-e^(2\ ...

    Text Solution

    |

  10. Evaluate: (i) int2/(1+cos2x)\ dx (ii) int2/(1-cos2x)\ dx

    Text Solution

    |

  11. Evaluate: (i) int(cos2x+2\ sin^2x)/(cos^2x)\ dx (ii) int(2\ cos^2x-cos...

    Text Solution

    |

  12. If a >0 and a!=1 evaluate the following integrals: inte^(x\ (log)e a)\...

    Text Solution

    |

  13. If a >0 and a!=1 evaluate the following integrals: inte^x\ a^x\ dx ...

    Text Solution

    |

  14. Evaluate each of the following integrals: intx^4\ dx (ii) intx^(5//...

    Text Solution

    |

  15. Evaluate each of the following integrals: int3^x\ dx (ii) int1/(x^2...

    Text Solution

    |

  16. Evaluate: (i) intsqrt((1+cos2x)/2)\ dx (ii) intsqrt((1-cos2x)/2)\ dx

    Text Solution

    |

  17. Evaluate: int(e^(6\ (log)e x)-e^(5\ (log)e x))/(e^(4\ (log)e x)-e^(3\ ...

    Text Solution

    |

  18. Evaluate: int1/(a^x\ b^x)\ dx

    Text Solution

    |

  19. Evaluate: (i) int(cos2x+2\ sin^2x)/(sin^2x)\ dx (ii) int(2\ cos^2x-cos...

    Text Solution

    |

  20. Evaluate: int(e^(logsqrt(x)))/x\ dx

    Text Solution

    |