Home
Class 12
MATHS
If int (cos x+x)/(1+sin x) dx=f(x)+int (...

If `int (cos x+x)/(1+sin x) dx=f(x)+int (3"cos"x/2-"sin"x/2)/("cos"x/2+"sin"x/2) dx+c`, then `f(x)=`

A

`(-2 x)/(1+"tan"x/2)`

B

`(-x"cos"x/2)/("cos"x/2+"sin"x/2)`

C

`(2x)/(1+"tan"x/2)`

D

`(x"cos"x/2)/("cos"x/2+"sin"x/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TS EAMCET 2018 (7 MAY SHIFT 1)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

  • TS EAMCET 2019 (3 MAY SHIFT 2)

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|80 Videos

Similar Questions

Explore conceptually related problems

int (1)/(cos x+ sin x)dx=

int (cos x)/( sin x log sin x)dx=

int(1)/(2cos x+ 3 sin x+4)dx=

int (cos x )/(sqrt(2 + 3 sin x)) dx =

int (sin x)/(sin x + cos x) dx =

int (1)/(cos 2 x + sin^(2) x) dx =

int (cos x)/(3 cos x + 4 sin x ) dx =

int (sin 2x)/(1+cos^(4)x)dx=

int (1)/(sin x - cos x) dx =

int (3 cos 3x-2 sin 2x)/(cos 2x+ sin 3x)dx=

TS EAMCET PREVIOUS YEAR PAPERS-TS EAMCET 2019 (3 MAY SHIFT 1)-Mathematics
  1. A variable plane is at a distance of 6 units from the origin. If it me...

    Text Solution

    |

  2. lim(x rarr oo)((2x^(2)+3x+4)/(x^(2)-3x+5))^((3|x|+1)/(2|x|-1))=

    Text Solution

    |

  3. If 'a' is the point of discontinuity of the function f(x)={(cos 2x",...

    Text Solution

    |

  4. If y=(x+1)(x^(2)+1)(x^(4)+1)(x^(8)+1), then lim(x rarr -1) (dy)/(dx)=

    Text Solution

    |

  5. f(x) is a twice differentiable function such that f ' '(x)=-f(x) and f...

    Text Solution

    |

  6. If y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo)))), then (dy)/(dx)=

    Text Solution

    |

  7. The tangent of the angle between the curves xy=1 and x^(2)+8y=0 is

    Text Solution

    |

  8. The slope of the tangent at (1, 2) to the curve x=t^(2)-7t+7 and y=t^(...

    Text Solution

    |

  9. If f(x)=2x^(3)-3x^(2)-x+1 Then f(x-1)

    Text Solution

    |

  10. If f(x)=int(x)^(x+1) e^(-t^(2)) dt, then the interval in which f(x) is...

    Text Solution

    |

  11. If int (cos x+x)/(1+sin x) dx=f(x)+int (3"cos"x/2-"sin"x/2)/("cos"x/2+...

    Text Solution

    |

  12. int sqrt(cos 2x)/(sin x) dx =

    Text Solution

    |

  13. If int ((2x+3))/(x(x+1)(x+2)(x+3)+1)dx =-1/(px^(2)+qx+r)+c then (3p-q)...

    Text Solution

    |

  14. Evaluate the integerals. int (log x)^(2) dx (0, oo).

    Text Solution

    |

  15. lim(n rarr oo) sum(k=1)^(n) k/(n^(2)+k^(2))=

    Text Solution

    |

  16. int(0)^(10) (5-sqrt(10x-x^(2))) dx=

    Text Solution

    |

  17. Area of the region (in sq units) bounded by the curves y=sqrt(x), x=sq...

    Text Solution

    |

  18. The differential equation representing the family of circles of consta...

    Text Solution

    |

  19. The solution of the differential equation (2x-3y+5)dx+(9y-6x-7)dy=0, i...

    Text Solution

    |

  20. The solution of the differential equation sqrt(1-y^(2)) dx+x dy-sin^(-...

    Text Solution

    |