Home
Class 12
MATHS
int tan(sin^(-1) x) dx=........... A) (...

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

A

`(1-x^2)^(1/2)` + c

B

`(1-x^2)^(1/2)` + c

C

`frac{tan^(m)x}{sqrt (1-x^2}` + c

D

`-` `sqrt (1-x^2)` + 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 sin^(-1) x dx=............ A) x sin^(-1) x + sqrt (1-x^2) + c B) x sin^(-1) x - sqrt (1- x^2) + c C) -x sin^(-1) x + sqrt (1-x^2) + c D) x sin^(-1) x + sqrt (x^2 - 1) + c

If y= sin(2 sin^(-1) x) , then dy/dx= ............ A) frac{2-4x^2}{sqrt (1-x^2)} B) frac{2+4x^2}{sqrt (1-x^2)} C) frac{4x^2 - 1}{sqrt (1-x^2)} D) frac{1-2x^2}{sqrt (1-x^2)}

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

If y= sin^(-1) (frac{5x+ 12 sqrt (1-x^2)}{13}) , then (dy/dx) = .......... A) 0 B) frac {-1}{sqrt (1-x^2)} C) frac {1}{sqrt (1-x^2)} D) sqrt (1-x^2)

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

int_(-1)^(1)(sqrt(1+x+x^(2))-sqrt(1-x+x^(2)))dx=

int tan^(-1) sqrt x dx=.............a)x tan^(-1) sqrt x - sqrt x + tan^(-1) sqrt x + c b)x tan^(-1) sqrt x + sqrt x - tan^(-1) sqrt x + c c)- x tan^(-1) sqrt x - sqrt x + tan^(-1) sqrt x + c d)x tan^(-1) sqrt x + sqrt x + tan^(-1) sqrt x + c

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

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

CHETANA PUBLICATION-Indefinite Integration-Exercise
  1. int frac{log (3x)}{xlog(9x)} dx = ............. (A) log(3x) - log(9x)...

    Text Solution

    |

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

    Text Solution

    |

  3. int tan(sin^(-1) x) dx=........... A) (1-x^2)^(1/2) + c B) -(1-x^2)^...

    Text Solution

    |

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

    Text Solution

    |

  5. If f(x) = frac{sin^(-1)x}{sqrt (1-x^2)}, g(x)=e^(sin^(-1)x), then int ...

    Text Solution

    |

  6. If int tan^3 x sec^3 x dx=(1/m) sec^m x - (1/n) sec^n x dx , then (...

    Text Solution

    |

  7. intfrac{1}{cos x - cos^2 x} dx=............ (A) log(cosec x - cot x) ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. 2 int frac{cos^2 x - sin^2 x}{cos^2 x + sin^2 x} dx=............ A) s...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |