Home
Class 12
MATHS
int e^x frac{x}{(x+1)^2} dx =..............

`int` `e^x frac{x}{(x+1)^2}` dx =........... A) `e^x(x+1)` + c B) `frac{e^x}{(x+1)^2}` + c C) `frac{e^x}{x+1}` + c D) `frac{-e^x}{x+1}` + c

A

`e^x`(x+1) + c

B

`frac{`e^x`}{`(x+1)^2`}` + c

C

`frac{`e^x`}{x+1}` + c

D

`frac{-`e^x`}{x+1}` + c

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Indefinite Integration

    CHETANA PUBLICATION|Exercise Exercise|221 Videos

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

  • Mathematical Logic

    CHETANA PUBLICATION|Exercise EXERCISE|44 Videos

Similar Questions

Explore conceptually related problems

int frac{1}{ 3 x- 2 sqrt x} dx=..........

int frac{e^x (x-1)}{x^2} dx=............ A) frac{e^x}{x} + c B) frac{e^x}{x^2} + c C) (x-1/x) e^x + c D) x e^(-x) + c

int frac{log x}{(log ex)^2} dx= ............ A) frac{x}{1+log x} + c B) x(1+log x) + c C) frac{1}{1+log x} + c D) frac{1}{1-log x} + c

int frac{e^(2x) + e^(-2x)}{e^x} dx =............. A) e^x - frac{1}{3 e^(3x)} + c B) e^x + frac{1}{3 e^(3x)} + c C) e^(-x) + frac{1}{3 e^(3x)} + c D) e^(-x) - frac{1}{3 e^(3x)} + c

int frac{e^(1/x)}{x^2} dx=........... A) frac{e^(1/x)}{x^2} + c B) 1/4 e^(1/x) + c C) -e^(1/x) + c D) e^(1/x) + c

int frac{e^x(1+x)}{ cos^2 (x e^x)} dx=.............. A) tan(x e^x ) + c B) - tan(x e^x ) + c C) cot(x e^x ) + c D) -cot(x e^x ) + c

If x^y = e^(x-y) , then dy/dx = ............ A) frac{1 + x}{1+ log x} B) frac{log x}{(1+ log x)^2} C) frac{1- log x}{1+ log x} D) frac{1 - x}{1+ log x}

int frac{dx}{1+e^(-x)} =........... A) log(1+e^(-x)) + c B) log(e^x + 1)) + c C) log(1-e^(-x)) + c D) log(e^(x)) + c

int frac{sin^mx}{cos^(m+2)x} dx=.............. A) frac{tan^(m+1)x}{m+1} + c B) (m+2) tan^(m+1) x + c C) frac{tan^(m)x}{m} + c D) (m+1) tan^(m+1) x + c

int frac{1}{sqrt (3 + 4x - 4 x^2)} dx =............... A) sin^(-1) frac{2x-1}{2} + c B) (1/2) sin^(-1) frac{2x-1}{2} + c C) (1/3) sin^(-1) frac{2x-1}{2} + c D) (1/2) sin^(-1) (2x-1) + c

CHETANA PUBLICATION-Indefinite Integration-Exercise
  1. intx^2e^(3x) dx=............ A) (1/3) x^2e^(3x) - (2/9) x e^(3x) + (2...

    Text Solution

    |

  2. int tan^(-1)sqrt x dx=.............a)xtan^(-1)sqrt x - sqrt x + tan^(-...

    Text Solution

    |

  3. int e^x frac{x}{(x+1)^2} dx =........... A) e^x(x+1) + c B) frac{e^x...

    Text Solution

    |

  4. intfrac{x+1}{x^2 + 5x + 6} dx=............ A) log(x+2) +2 log(x+3) +...

    Text Solution

    |

  5. intfrac{ t^2 + 1}{ t^4 + 1} dt=...........a) frac{1}{sqrt2}[tan^(-1)(s...

    Text Solution

    |

  6. intfrac{1}{4+5 cos^2 x} dx=.............. A) (1/3)tan^(-1)((2/3)tan x...

    Text Solution

    |

  7. intsin^(-1) x dx=............ A) x sin^(-1) x + sqrt (1-x^2) + c B) ...

    Text Solution

    |

  8. int frac{e^(1/x)}{x^2} dx=........... A) frac{e^(1/x)}{x^2} + c B) 1...

    Text Solution

    |

  9. int frac{dx}{1+e^(-x)} =........... A) log(1+e^(-x)) + c B) log(e^x ...

    Text Solution

    |

  10. int sin^2 x cos^2 x dx=............. A) 1/8(x-frac{sin 4x}{4}) + c B...

    Text Solution

    |

  11. int frac{1}{ 3 x- 2 sqrt x} dx=..........

    Text Solution

    |

  12. intfrac{x^2 + 3x +5}{(x+2)(x^2 + 2x +3)} dx=............ (A) log (x+2...

    Text Solution

    |

  13. Evaluate the following: inttan^2 x dx

    Text Solution

    |

  14. Evaluate the following: int x root(3)(x) dx

    Text Solution

    |

  15. Evaluate: int log x dx

    Text Solution

    |

  16. Evaluate: int e^x (sin x+ cos x) dx

    Text Solution

    |

  17. Evaluate: int frac{1}{x^2 + 2x + 5} dx

    Text Solution

    |

  18. Evaluate: int frac{x}{x^27} dx

    Text Solution

    |

  19. Prove that int frac{1}{sqrt (x^2 - a^2)} dx = log (x+ sqrt (x^2 -a^2))...

    Text Solution

    |

  20. Evaluate int frac{x+3}{sqrt (x^2 + 2x + 2)} dx

    Text Solution

    |