Home
Class 12
MATHS
int(x^(e-1)+e^(x-1))/(x^(2)+e^(x)) dx is...

`int(x^(e-1)+e^(x-1))/(x^(2)+e^(x))` dx is equal to

Text Solution

Verified by Experts

The correct Answer is:
`1/e log|x^(e)+e^(x)|+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise TWO MARK QUESTIONS|20 Videos

  • INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR MARK QUESTIONS|82 Videos

  • DIFFERENTIAL EQUATIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise SIX MARK QUESTIONS|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise 4 MARK QUESTIONS|31 Videos

Similar Questions

Explore conceptually related problems

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

What is int((x^(e-1)+e^(x-1)))/(x^(e )+e^(x)) equal to ?

int(x^(e-1)-e^(x-1))/(x^e-e^x)dx

What is int ((x^(e -1) + e^(x -1))dx)/(x^(e) + e^(x)) equal to ?

int e^(x)""((x-1)/(x^(2)))dx is equal to

int_(0)^(1) (dx)/(e^(x) +e^(-x)) dx is equal to

int(x^(e-1)-e^(x-1))/((x^(e)-e^(x))^(2))dx=

int(x e^(x))/((1+x)^(2)) dx is equal to

int1/(1+e^(x))dx is equal to

CBSE COMPLEMENTARY MATERIAL-INTEGRALS-SIX MARK QUESTIONS
  1. int(x^(e-1)+e^(x-1))/(x^(2)+e^(x)) dx is equal to

    Text Solution

    |

  2. int(x^5+4)/(x^5-x)dx

    Text Solution

    |

  3. int(2e^t)/(e^(3t)-6e^(2t)+11 e^t-6)dt

    Text Solution

    |

  4. int(2x^3)/((x+1)(x-3)^2)dx

    Text Solution

    |

  5. Evaluate the following integrals: int(1+sinx)/(sin x(1+cosx))dx

    Text Solution

    |

  6. int(0)^(pi//2)(sqrt(tanx)+sqrt(cotx))dx

    Text Solution

    |

  7. Evaluate: int0^1xsqrt((1-x^2)/(1+x^2))dx

    Text Solution

    |

  8. Evaluate the following integrals: int(0)^(pi//2) (cosx)/(1+cos x+sin...

    Text Solution

    |

  9. Evaluate the following integrals as limit of sums: int(2)^(4)(2x+1)d...

    Text Solution

    |

  10. Evaluate the following integrals as limit of sums: int(0)^(2)(x^(2)+...

    Text Solution

    |

  11. Evaluate the following integrals as limit of sums: int(1)^(3)(3x^(2)...

    Text Solution

    |

  12. Evaluate the following integrals as limit of sums: int(0)^(4)(3x^(2)...

    Text Solution

    |

  13. Evaluate the following integrals as limit of sums: int(0)^(1)e^(2-3x...

    Text Solution

    |

  14. Evaluate the following integrals as limit of sums: int(0)^(1)(3x^(2)...

    Text Solution

    |

  15. Evaluate: int1/((sinx-2cosx)(2sinx+cosx)dx

    Text Solution

    |

  16. int0^1log(1+x)/(1+x^2)dx

    Text Solution

    |

  17. int(0)^(pi//2) (2logsin x - log sin 2x) dx=

    Text Solution

    |

  18. Evaluate: int0^1x(tan^(-1)x)^2dx

    Text Solution

    |

  19. Prove that: int(0)^(pi//2) log (sin x) dx =int(0)^(pi//2) log (cos x)...

    Text Solution

    |

  20. Prove that int0^1tan^(-1)(1/(1-x+x^2))dx=2int0^1tan^(-1)x dxdot Henc...

    Text Solution

    |

  21. Evaluate : int0^(pi/2)(sin^2x)/(s in x+cos x)dx

    Text Solution

    |