Home
Class 12
MATHS
int frac{e^x (x-1)}{x^2} 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

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

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{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

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

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 sin^2 x cos^2 x dx=............. A) 1/8(x-frac{sin 4x}{4}) + c B) 1/8(frac{x-sin 4x}{4})+ c C) sec^2 x + c D) tan x + c

int frac{1}{x^2 + 4x + 8} dx =............... A) tan^(-1) (frac{x+2}{2}) + c B) tan^(-1) (x+2) + c C) (1/4) tan^(-1) (x+2) + c D) (1/2) tan^(-1) (frac{x+2}{2}) + 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

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{cos 2x -1}{cos 2x + 1} dx=........... A) tan x - x + c B) x + tan x + c C) x - tan x + c D) -x -cot 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

CHETANA PUBLICATION-Indefinite Integration-Exercise
  1. intfrac{1}{cos x - cos^2 x} dx=............ (A) log(cosec x - cot x) ...

    Text Solution

    |

  2. int frac{sqrt (cot x)}{sin x cos x} dx =............ A) 2sqrt cot x +...

    Text Solution

    |

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

    Text Solution

    |

  4. int sin(log x) dx=........ (A) (x/2)[sin(log x) - cos(log x)] + c (B)...

    Text Solution

    |

  5. int x^x (1+ log x) dx =............. A) (1/2) (1+log x)^2 +c B) x^(x...

    Text Solution

    |

  6. intcos^(-3/7)xsin^(-11/7)xdx=...... A) (-7/4)tan^(-4/7)x+c B) log(si...

    Text Solution

    |

  7. 2 int frac{cos^2 x - sin^2 x}{cos^2 x + sin^2 x} dx=............ A) s...

    Text Solution

    |

  8. int frac{1}{cos x sqrt (sin^2 x - cos^2 x)} dx=............ A) log(ta...

    Text Solution

    |

  9. int frac{log x}{(log ex)^2} dx= ............ A) frac{x}{1+log x} + c ...

    Text Solution

    |

  10. int [ sin(log x) + cos(log x)] dx=........... A) x cos(log x) + c B) ...

    Text Solution

    |

  11. intfrac{cos 2x -1}{cos 2x + 1} dx=........... A) tan x - x + c B) x ...

    Text Solution

    |

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

    Text Solution

    |

  13. int frac{sin^4 2x + cos^4 2x}{sin^2 2x cos^2 2x} dx=.............

    Text Solution

    |

  14. int e^(3 log x) (x^4 + 1)^(-1) dx =............. A) (1/2) tan^(-1) (x...

    Text Solution

    |

  15. int frac{e^x(1+x)}{ cos^2 (x e^x)} dx=.............. A) tan(xe^x) + c...

    Text Solution

    |

  16. int frac{1}{sin(x-a) sin(x-b)} dx =.......... A) int frac{1}{sin(b-a)...

    Text Solution

    |

  17. int frac{1}{x^2 + 4x + 8} dx =............... A) tan^(-1) (frac{x+2}{...

    Text Solution

    |

  18. int frac{1}{sqrt (3 + 4x - 4 x^2)} dx =............... A) sin^(-1) fr...

    Text Solution

    |

  19. intfrac{5x-1}{3x^2+x+2}dx =....(5/6)log|3x^2+x+2|+frac{11}{3sqrt 23}ta...

    Text Solution

    |

  20. int frac {x+1}{x+2} dx =............ A) x+2 - log(x+2) + c B) sqrt (...

    Text Solution

    |