Home
Class 12
MATHS
int(dx)/(sinx+sqrt3cosx)...

`int(dx)/(sinx+sqrt3cosx)`

Text Solution

Verified by Experts

The correct Answer is:
`1/2logabs(cosec(x+pi/3)-cot(x+pi/3))+c`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    PATHFINDER|Exercise QUESTION BANK|39 Videos

  • MATRICES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

Evaluate int(dx)/(sinx+cosx).

Evalute: int(dx)/(cosx+sqrt(3)sinx) .

int_(0)^((pi)/(2))(sqrt(sinx)dx)/(sqrt(sinx)+sqrtcosx)

int(dx)/(sinx+cosx) equals

int(In(tanx))/(sinx cosx)dx " is equal to "

If [2sinx]+[cosx]=-3 then the range of the function f(x)=sinx+sqrt3cosx in [0, 2pi] is, (where [.] denotes the greatest integer function)

int (sin2xdx)/((sinx +cosx)^(2))

int dx/(3sinx + 4cosx)

The value of int(dx)/(sinx-cosx+sqrt(2)) is -

Evaluate: int_(0)^((pi)/(2))(sqrt(cosx))/(sqrt(sinx)+sqrt(cosx))dx

PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
  1. int(dx)/(x(x^m+1)) is equal to

    Text Solution

    |

  2. If intxlog(1+x^2)dx=A(x)cdotlog(1+x^2)+B(x)+c, then

    Text Solution

    |

  3. int(dx)/(sinx+sqrt3cosx)

    Text Solution

    |

  4. If int(sinx+sin^3x)/(cos2x)dx=lamdacosx+mulogabs(f(x))+c, then

    Text Solution

    |

  5. If int (xe^x)/(sqrt(1 + e^x)) dx = f(x) sqrt(1 + e^x) - 2 In g(x) + c...

    Text Solution

    |

  6. If intsin(logx)dx=f(x)(sing(x)-cosh(x))+c, then

    Text Solution

    |

  7. If int sin^-1sqrt(x/(1+x))dx=f(x) sin^-1sqrt(x/(1+x))-sqrtx+ (hog)(x)+...

    Text Solution

    |

  8. Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x). A...

    Text Solution

    |

  9. Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x). A...

    Text Solution

    |

  10. Let n be a positive interger such that In=intx^nsqrt(a^2-x^2)dx Answer...

    Text Solution

    |

  11. Let n be a positive interger such that In=intx^nsqrt(a^2-x^2)dx Answer...

    Text Solution

    |

  12. Match List-I with List-II

    Text Solution

    |

  13. Match List - I with List-II Let the functions defined in List - I ha...

    Text Solution

    |

  14. If int (sqrttanx + sqrtcotx) dx = a tan^-1 ((tan x - 1)/sqrt(b tan x))...

    Text Solution

    |

  15. If int((cos8x-cos7x)/(1+2cos5x))dx=(sin3x)/a-(sin2x)/b+c then the last...

    Text Solution

    |

  16. If int(1+cos8x)/(tan2x- cot2x)dx= acos8x +c, then find the value of a.

    Text Solution

    |

  17. If int(x+(cos^-1 3x)^2)/sqrt(1-9x^2)dx=Asqrt(1-9x^2)+B(cos^-1 3x)^3+C,...

    Text Solution

    |

  18. If int(sinx^8-cosx^8)/(1-2sinx^2cosx^2)dx= asin2x +c, then find the va...

    Text Solution

    |

  19. Evaluate int(dx)/((2x-x^2)^(3//2))

    Text Solution

    |

  20. Evaluateintsqrt(cos2x)/sinx dx

    Text Solution

    |