Home
Class 12
MATHS
int1/(1+sqrt(x))"dx" is equal to 2sqrt(x...

`int1/(1+sqrt(x))"dx"` is equal to `2sqrt(x)+2ln|1+sqrt(x)|+c` b. `2sqrt(x)-2ln|1+sqrt(x)|+c` c. `2sqrt(x)-2ln|1-sqrt(x)|+c` d. `2sqrt(x)-ln|1+sqrt(x)|+c`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

int_(1)^(7)(log sqrt(x))/(log sqrt(8-x)+log sqrt(x))dx=

int_-1^1 log(x+sqrt(x^2+1))dx

int_(1)^(5)(sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1)))dx =

intdx/(sqrt(1+x^2)sqrt(log(x+sqrt(1+x^2))))

int_(1)^(2)(1)/(x sqrt(log x))dx =

int(xdx)/(sqrt((1+x^2)+sqrt((1+x^2)^3)))= (a) 1/2ln(1+sqrt(1+x^2))+c (b) 2sqrt(1+sqrt(1+x^2))+c (c) 2(1+sqrt(1+x^2))+c (d) 4sqrt(1+sqrt(1+x^2))+c

If I=int(sqrt(cot x)-sqrt(tan x))dx, then I equal sqrt(2)log(sqrt(tan x)-sqrt(cot x))+Csqrt(2)log|sin x|cos x+sqrt(sin2x)|+Csqrt(2)log|sin x-cos x+sqrt(2)sin x cos x|+sqrt(2)log|sin(x+(pi)/(4))+sqrt(2)sin x cos x|+C

int ln(sqrt(1+x)+sqrt(1-x))dx

int sqrt((x)/(1-x))dx is equal to sin^(-1)sqrt(x)+C(b)sin^(-1){sqrt(x)-sqrt(x(1-x))}+C(c)sin^(-1){sqrt(x(1-x)}+C(d))sin^(-1)sqrt(x)-sqrt(x(1-x))+C

The integral int (xdx)/(2-x^2+sqrt(2-x^2) equals: (A) log|1+sqrt(2+x^2)|+C (B) xlog|1-sqrt(2+x^2)|+C (C) -log|1+sqrt(2-x^2)|+C (D) xlog|1-sqrt(2-x^2)|+C

RESONANCE DPP-JEE MAINS-All Questions
  1. If nine arithmetic means and nine harmonic means are inserted between ...

    Text Solution

    |

  2. Let ABC be an isosceles triangle with base BC whose length is 'a'. If ...

    Text Solution

    |

  3. int1/(1+sqrt(x))"dx" is equal to 2sqrt(x)+2ln|1+sqrt(x)|+c b. 2sqrt(x...

    Text Solution

    |

  4. Number of natural numbers between 100 & 1000 such that at least one of...

    Text Solution

    |

  5. Find the solutions of the equation, (log)(sqrt(2)sin"x")(1+cosx)=2, in...

    Text Solution

    |

  6. Let vec a , vec b , vec c be three unit vectors such that | vec a+ v...

    Text Solution

    |

  7. A person throws dice, one the common cube and the other reglowest tera...

    Text Solution

    |

  8. If atanA+btanB=(a+b)tan((A+B)/2) prove that triangle ABC is isosceles.

    Text Solution

    |

  9. If vec a , vec ba n d vec c are unit vectors, then | vec a- vec b|^2+...

    Text Solution

    |

  10. A bag contains 50 tickets numbered 1,2,3..., 50 of which five are draw...

    Text Solution

    |

  11. The probability of choosing a number divisible by 6 or 8 from among 1 ...

    Text Solution

    |

  12. Two fair dice are rolled together, one of the dice showing 4, then the...

    Text Solution

    |

  13. In how many ways can 5 colours be selected out of 8 different colours ...

    Text Solution

    |

  14. If vec b is a vector whose initial point divides thejoin of 5 hat ...

    Text Solution

    |

  15. In a A B C(b csin^2A)/(cos A+cosB cos C) is equal to b^2+C^2 b.b c ...

    Text Solution

    |

  16. If H is the othrocenter of an acute angled triangle ABC whose circumci...

    Text Solution

    |

  17. If f: R to R and g: R to R are defined by f(x)=2x+3 and g(x)=x^(2)+7 ,...

    Text Solution

    |

  18. Let E={1,2,3,4}a n dF-{1,2}dot If N is the number of onto functions fr...

    Text Solution

    |

  19. Find the number of ways in which the letters A, B, C, D, E, F can be p...

    Text Solution

    |

  20. If f(x)=x^3+2x^2+3x+4 and g(x) is the inverse of f(x) then g^(prime...

    Text Solution

    |