Home
Class 12
MATHS
int(sin(2x)dx)/(1+cos^(2)x)=...

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

A

`-(1)/(2)log(1+cos^(2)x)+C`

B

`2log(1+cos^(2)x)+C`

C

`(1)/(2)log(1+cos2x)+C`

D

`C-log(1+cos^(2)x)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2003

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2006

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

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

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

int(sin2x)/(2cos^(2)x+3sin^(2)x)dx equals

Evaluate underset(0)overset(pi/2)int (sin x)/(1+cos^(2)x)dx

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

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

int (sin^(2)x)/(1+cos x) dx is equal to

int(dx)/(sin^2 x cos^2x)

int(sin2x)/(sin^(2)x+2cos^(2)x)dx=

Find : int(sin^(2)x-cos^(2)x)/(sin^(2)xcos^(2)x)dx :

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2005-MATHEMATICS
  1. The equation to the circle with centre (2, 1) and touching the line 3x...

    Text Solution

    |

  2. The condition for a line y = 2x + c to touch the circle x^(2) + y^(2) ...

    Text Solution

    |

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

    Text Solution

    |

  4. inte^(x)((1+sinx)/(1+cosx))dx=

    Text Solution

    |

  5. int (1 + tan x)/(e^(-x). Cos x) dx =

    Text Solution

    |

  6. underset(pi//4)overset(pi//2)(int) cosec^(2)xdx=....

    Text Solution

    |

  7. underset(0)overset(pi//4)(int)log(1+tanx)dx=.....

    Text Solution

    |

  8. The modulus and amplitude of (1 + 2i)/(1-(1-i)^(2)) are

    Text Solution

    |

  9. The real part of (1)/(1+cos theta+i sin theta) is

    Text Solution

    |

  10. underset(xrarr0)(Lim)(tanx-sinx)/(x^(3)) is equal to...

    Text Solution

    |

  11. If y = (e^(x)+e^(-x))/(e^(x)-e^(-x))then is equal to...

    Text Solution

    |

  12. If f(x)={overset((sin^(5x))/(x^(2)+2x),xne0)underset(k+(1)/(2),x=0)is ...

    Text Solution

    |

  13. The are bounded by the parabola y^(2)=4ax and the line x = a and x = 4...

    Text Solution

    |

  14. A population p(t) of 1000 bacteria introduced into nutrient medium gro...

    Text Solution

    |

  15. Form the differential equation of the family of circles touching the y...

    Text Solution

    |

  16. The area of the region bounded by the curve9x^(2) + 4y^(2) - 36 = 0 is...

    Text Solution

    |

  17. The general solution of the differential equation (2x - y + 1) dx + (2...

    Text Solution

    |

  18. Ify = tan^(-1) ((sqrt(1+x^(2)) -sqrt(1-x^(2)))/(sqrt(1+x^(2)) + sqrt(1...

    Text Solution

    |

  19. If x = sin t, y = cos pt then...

    Text Solution

    |

  20. If ST and SN are the lengths of the subtangent and the subnormal at th...

    Text Solution

    |