Home
Class 12
MATHS
The value of int(x dx)/((x+3)sqrt(x+1) ...

The value of `int(x dx)/((x+3)sqrt(x+1)` is (where , c is the constant of integration )

A

`2sqrt(x+1)+3tan^-1sqrt(x+1)+c`

B

`2sqrt(x+1)+3sqrt(2)tan^-1sqrt((x+1)/(2))+c`

C

`2sqrt(x+1)-3sqrt(2)tan^-1sqrt((x+1)/(2))+c`

D

`2sqrt(x+1)-3tan^-1sqrt(x+1)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 25

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • NTA JEE MOCK TEST 28

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

The value of intsin^(3)x sqrt(cosx)dx is equal to (where, c is the constant of integration)

The value of int(1)/((2x-1)sqrt(x^(2)-x))dx is equal to (where c is the constant of integration)

The value of int((x-4))/(x^2sqrt(x-2)) dx is equal to (where , C is the constant of integration )

int(dx)/(1+e^(-x)) is equal to : Where c is the constant of integration.

The value of int(ln(cotx))/(sin2x)dx is equal to (where, C is the constant of integration)

What is int a^(x) e^(x) dx equal to ? where c is the constant of integration

The integral int(1)/((1+sqrt(x))sqrt(x-x^(2)))dx is equal to (where C is the constant of integration)

The integral I=int(2sinx)/((3+sin2x))dx simplifies to (where, C is the constant of integration)

What is int (dx)/(sin^(2) x cos^(2) x) equal to ? where c is the constant of integration

What is int sin ^(3) x cos x dx equal to ? Where c is the constant of integration

NTA MOCK TESTS-NTA JEE MOCK TEST 27-MATHEMATICS
  1. The number of integral values of a for which the equation cos2x+asinx=...

    Text Solution

    |

  2. Equation of chord AB of the circle x^2+y^2=2 passing through P(2,2) su...

    Text Solution

    |

  3. The value of int(x dx)/((x+3)sqrt(x+1) is (where , c is the constant ...

    Text Solution

    |

  4. If in the expansion of (1 +x)^(m) (1 - x)^(n) , the coefficients ...

    Text Solution

    |

  5. If P = {1,2,3,4,5} and Q = {a,b,c}, then the number of onto functions ...

    Text Solution

    |

  6. Let Z is be the set of integers , if A={"x"inZ:|x-3|^((x^2-5x+6))=1} a...

    Text Solution

    |

  7. If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of ...

    Text Solution

    |

  8. If two points P & Q on the hyperbola ,x^2/a^2-y^2/b^2=1 whose centre i...

    Text Solution

    |

  9. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

    Text Solution

    |

  10. The value of x for which sin(cot^-1(1+x))=cos (tan^-1x) is

    Text Solution

    |

  11. If 2^(a1),2^(a2),2^(a3).......2^(ar) are in geometric progression , th...

    Text Solution

    |

  12. The solution of the equation |z|-z=1+2i is

    Text Solution

    |

  13. The unbiased dice is tossed until a number greater than 4 appear. W...

    Text Solution

    |

  14. The range of a for which the equation x^2+x-4=0 has its smaller root i...

    Text Solution

    |

  15. If volume of parallelopiped whose there coterminous edges are vec u = ...

    Text Solution

    |

  16. If 5a + 4b + 20 c = t then the value of t for which the line ax+by+c-...

    Text Solution

    |

  17. The solution of the differential equation sin(x+y)dy =dx is

    Text Solution

    |

  18. If f(x)=[x]^({x}) +{x}^([x]) + sin (pix) , Where [.] and {.} represen...

    Text Solution

    |

  19. An aeroplane flying horizontally , 1km above the ground , is observed...

    Text Solution

    |

  20. The sum to infinity of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))...

    Text Solution

    |