Home
Class 12
MATHS
If int tan^3 x sec^3 x dx=(1/m) sec^m...

If `int` `tan^3 x sec^3 x dx=(1/m) sec^m x - (1/n) sec^n x` dx , then (m,n)= ......... A) (5,3) B) (3,5) C) (1/5, 1/3) D) (4,4)

A

(5,3)

B

(3,5)

C

(1/5, 1/3)

D

(4,4)

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 x^2 sec x^3 dx =

int sec^4 x tan x dx =

int(1+tan x)/(x+ log sec x)dx =

int(cot x tanx)/(sec^2 x-1)dx =

If sec theta =1 (1)/(4), then tan ""(theta)/(2)= .............. A) pm 1/3 B) 3/4 C) 1/4 D) 5/4

int (sec x+tan x)^2 dx =

int(cotxtanx)/(sec^(2)x-1)dx=

inttan(3x-5)sec(3x-5)dx is equal to

CHETANA PUBLICATION-Indefinite Integration-Exercise
  1. int frac{x-sin x}{1-cos x} dx=........... A) x cot(x/2) + c B) -x co...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. 2 int frac{cos^2 x - sin^2 x}{cos^2 x + sin^2 x} dx=............ A) s...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |