Home
Class 12
MATHS
int(dx/((x+100) sqrt(x+99))) = f(x) +c ...

`int(dx/((x+100) sqrt(x+99))) = f(x) +c`
then find`f(-99) `

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 79

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 81

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If int(dx)/((x+100)sqrt(x+99))=f(x)+C , then f(x) is

int(f'(x))/(sqrt(f(x)))dx=…+C,f(x) ne 0

int(f'(x))/(sqrt(f(x)))*dx

If int f(x) dx = 2 cos sqrt(x) + c , then f(x) =

If l=int(sqrt(tanx)+sqrt(cotx))dx=f(x)+c then f(x) is equal to

Let int(dx)/(sqrt(x^(2)+1)-x)=f(x)+C such that f(0)=0 and C is the constant of integration, then the value of f(1) is

f(x) = int(x^(2)+x+1)/(x+1+sqrt(x))dx , then f(1) =

int(-dx)/((x-2)sqrt(x^(2)-4x))=(1)/(k)cos ec^(-1)(f(x))+c, then (k,f(x))

NTA MOCK TESTS-NTA JEE MOCK TEST 80-MATHEMATICS
  1. If the number of integral of solutions of x+y+z+w lt 25 are .^(23)C(la...

    Text Solution

    |

  2. From a point P(3, 3) on the circle x^(2)+y^(2)=18 two chords PQ and PR...

    Text Solution

    |

  3. The number of solutions of the equation (3+cos x)^(2)=4-2sin^(8)x" in ...

    Text Solution

    |

  4. If A and B are two events defined on a sample space with the probabili...

    Text Solution

    |

  5. Let 2x+ay+6z=8, x+2y+bz=5 and x+y+3z=4 be three equations. If these 3 ...

    Text Solution

    |

  6. Let the equation of a line is (x-2)/(1)=(y-3)/(2)=(z-4)/(3). An insect...

    Text Solution

    |

  7. Let A=[(a, b),(c, a)]AA a, b, c, in {0, 1, 2}. If A is a singular matr...

    Text Solution

    |

  8. int(dx/((x+100) sqrt(x+99))) = f(x) +c then findf(-99)

    Text Solution

    |

  9. The number of tangents that can be drawn to y=e^(x) from (pi, 0) is

    Text Solution

    |

  10. The area bounded by y=(x^(2)-x)^(2) with the x - axis, between its two...

    Text Solution

    |

  11. The curve passing through P(pi^(2),pi) is such that for a tangent draw...

    Text Solution

    |

  12. The sum of all the values of p for which the lines x+y-1=0, px+4y+2=0 ...

    Text Solution

    |

  13. If 11 arithmetic means are inserted between 20 and 10, the number of i...

    Text Solution

    |

  14. If x^(2)+y^(2)=a^(2) and (x^(2))/(16)+(y^(2))/(9)=1 intersect at 4 poi...

    Text Solution

    |

  15. the minimum value of |8Z-8|+|2Z-4| exists, when Z is equal to (where, ...

    Text Solution

    |

  16. The remainder obtained when 27^(50) is divided by 12 is

    Text Solution

    |

  17. Let f(x)={{:((1-cosx)/((2pi-x)^(2)).(tan^(2)x)/(ln(1+4pi^(2)-4pix+x^(2...

    Text Solution

    |

  18. Let vecV(theta)=(cos theta+sectheta), hata +(cos theta-sec theta) wher...

    Text Solution

    |

  19. If lim(nrarroo)Sigma(r=1)^(2n)(3r^(2))/(n^(3))e^((r^(3))/(n^(3)))=e^(a...

    Text Solution

    |

  20. Let PQ be the focal chord of the parabola y^(2)=4x. If the centre of t...

    Text Solution

    |