Home
Class 12
MATHS
If int(cos^(2)x)/(sin^(6)x)dx=Acot^(5)x+...

If `int(cos^(2)x)/(sin^(6)x)dx=Acot^(5)x+Bcot^(3)x+k`, then A+B equals

A

`(8)/(15)`

B

`-(8)/(15)`

C

`(15)/(8)`

D

`-(15)/(8)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINTE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE LEVEL-I)|5 Videos
  • INDEFINTE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE LEVEL-II)|4 Videos
  • INDEFINTE INTEGRAL

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|9 Videos
  • HYPERBOLA

    FIITJEE|Exercise NUMERICAL BASED|4 Videos
  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

Similar Questions

Explore conceptually related problems

If int(cos^(2)x)/(sin^(6)x)dx=A cot^(5)x+B cot^(3)x+k , then A+B equals

int(sin^3 2x)/(cos^5 2x)dx=

int(x+cos6x)/(3x^(2)+sin6x)dx

int(a sin^(3)x+b cos^(3)x)/(sin^(2)x cos^(2)x)dx

int(a sin^(3)x-b cos^(3)x)/(sin^(2)x cos^(2)x)dx

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

int(sin^(2)x - cos^(2)x)/(sin^(2)x cos^(2)x) dx is equal to

int sin^(3)x cos^(3)x dx is equal to

int(5cos^3x+7sin^3x)/(3sin^2xcos^2x)dx

int_(0)^(pi//2) (cos^(5)x)/(sin^(5)x+cos^(5)x)dx is equal to

FIITJEE-INDEFINTE INTEGRAL-SOLVED PROBLEMS (OBJECTIVE)
  1. If inte^(ax)cosbx dx=(e2x)/(29)f(x)+C , then f'' (x)=

    Text Solution

    |

  2. int(x+(1)/(x))^(n+5).((x^(2)-1)/(x^(2)))dx is equal to

    Text Solution

    |

  3. If int(cos^(2)x)/(sin^(6)x)dx=Acot^(5)x+Bcot^(3)x+k, then A+B equals

    Text Solution

    |

  4. If f'(x)=x|sinx|AAx""in(0,x)andf(0)=(1)/(sqrt3), then f(x) will be

    Text Solution

    |

  5. int((x^(2)-1))/((x^(2)+1)sqrt(x^(4)+1))dx is equal to

    Text Solution

    |

  6. Evaluate: int(x+x^(2/3)+x^(1/6))/(x(1+x^(1/3))).dx

    Text Solution

    |

  7. If int(e^(x)(2-x^(2)))/((1-x)sqrt(1-x^(2)))dx=mue^(x)((1+x)/(1-x))^(la...

    Text Solution

    |

  8. int(dx)/(xsqrt(1-x^(3)))dx=

    Text Solution

    |

  9. he value of the integral inte^(sin^(2x))(cosx+cos^3x)sinx dx is

    Text Solution

    |

  10. If int(dx)/(5+4cosx)=ktan^(-1)(mtan""(x)/(2))+c, then

    Text Solution

    |

  11. If intsqrt(cosecx+1)dx,kfog(x)+c, where k is a real constant, then

    Text Solution

    |

  12. If f'(x)=(1)/(-x+sqrt(x^(2)+1))andf(0)=(-(1+sqrt2))/(2), then the valu...

    Text Solution

    |

  13. int(dx)/(root(3)((x-1)^(4)*(x+1)^(2)))

    Text Solution

    |

  14. I=int (dx)/(""^(4)sqrt( (x-1) ^(3) (x+2)^(5)))=k ""^(4)sqrt((x-1)/(x+2...

    Text Solution

    |

  15. For integral int f(x- a/x)*(1+a/x^(2))dx, put x-a/x=t For integral i...

    Text Solution

    |

  16. Evaluate: int(x-1)/((x+1)sqrt(x^3+x^2+x))\ dx

    Text Solution

    |

  17. Statement -1 : Integral of an even function is not always on odd funct...

    Text Solution

    |

  18. If int(lnx)/(x^(3))dx=-(lnx)/(ax^(2))-(1)/(bx^(2))+c then the value of...

    Text Solution

    |

  19. Evaluate : intsin4x.e^(tan^(2)x)dx

    Text Solution

    |

  20. If the primitive of the function f(x)=(x^(2009))/((1+x^(2))^(1006)) w....

    Text Solution

    |