Home
Class 12
MATHS
int frac{1}{sin(x-a) sin(x-b)} dx =........

`int` `frac{1}{sin(x-a) sin(x-b)}` dx =.......... A) `int` `frac{1}{sin(b-a)}` log`frac{sin(x-b)}{sin(x-a)}` + c B) `int` `frac{1}{sin(a-b)}` log|`frac{sin(x-a)}{sin(x-b)}`| + c C) `int` `frac{1}{cos(a-b)}` log|`frac{sin(x-b)}{sin(x-a)}`| + c D) `int` `frac{1}{cos(a-b)}` log|`frac{sin(x-a)}{sin(x-b)}`| + c

A

`int` `frac{1}{sin(b-a)}` log`frac{sin(x-b)}{sin(x-a)}` + c

B

`int` `frac{1}{sin(a-b)}` log|`frac{sin(x-a)}{sin(x-b)}`| + c

C

`int` `frac{1}{cos(a-b)}` log|`frac{sin(x-b)}{sin(x-a)}`| + c

D

`int` `frac{1}{cos(a-b)}` log|`frac{sin(x-a)}{sin(x-b)}`| + 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}{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{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{sin^4 2x + cos^4 2x}{sin^2 2x cos^2 2x} dx=.............

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 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

Integrate the following w.r. t. x: int frac{cos (x-a)}{sin (x-a)} dx

Integrate the following w.r.t. x: frac{sin(x-a)}{cos(x+b)}

Evaluate: \int_{-pi/2}^(pi/2) log frac{2+ sin x}{2- sin x} dx

\int_{0}^((pi)/2) frac{sin^2 x dx}{(1+cos x)^2} =........... A) frac{4-pi}{2} B) frac{pi-4}{2} C) 4- frac{pi}{2} D) frac{4+pi}{2}

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

CHETANA PUBLICATION-Indefinite Integration-Exercise
  1. int e^(3 log x) (x^4 + 1)^(-1) dx =............. A) (1/2) tan^(-1) (x...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. intfrac{1}{4+5sin x}dx=..............a)(1/3)log |frac{2tan(x/2)+4}{2ta...

    Text Solution

    |

  9. int sqrt (frac{a+x}{a-x}) dx =................ A) -a cos^(-1) (x/a) -...

    Text Solution

    |

  10. intx^2e^(3x) dx=............ A) (1/3) x^2e^(3x) - (2/9) x e^(3x) + (2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |