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

`int (sin^(-1))/(sqrt(1+x)) dx=`

A

`2sqrt(1+x) sin^(-1) x+2sqrt(1-x)+c`

B

`2sqrt(1+x) (sin^(-1) x+ 2) + c`

C

`2sqrt(1+x) sin ^(-1) x+4 sqrt(1-x)+c`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|13 Videos

  • MOCK TEST PAPER -II

    MODERN PUBLICATION|Exercise SELECT CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

(sin^(-1)x)/(sqrt(1+x))dx=

int (sin^(-1) x)/(sqrt(1 - x^2)) dx .

int (1)/(x - sqrt(x)) dx

int (sin 5x)/(sqrt(cos 5x)) dx =

If I_(1) = int sin^(-1) x dx and I_(2) = int sin^(-1) sqrt(1-x^(2))dx then

int_0^(1) sqrt(x(1-x)) dx=

Evaluate : int(xcos^(-1)x)/(sqrt(1-x^(2)))dx

MODERN PUBLICATION-MOCK TEST PAPER -I-SELECT THE CORRECT ANSWER
  1. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  2. if int f (x ) sin x cos x dx = (1)/(2(b^(2) -a^(2)) log f(x ) + c w...

    Text Solution

    |

  3. int (sin^(-1))/(sqrt(1+x)) dx=

    Text Solution

    |

  4. int (cos^(n-1))/( sin^(n+1)) dx , n ne 0 is :

    Text Solution

    |

  5. The value of the intergral underset(0)overset(pi//2)(int) (sin^(100)...

    Text Solution

    |

  6. If [x] denote the greatest integer function , then , int(0)^(pi//6) (1...

    Text Solution

    |

  7. The area bounded by the curve : y={(x^2,x lt 0),(x,xge0):} and the...

    Text Solution

    |

  8. If m and n are the order and degree of the different equatin : ...

    Text Solution

    |

  9. The general solution of the differential equation sqrt(1-x^(2)y^(2)).d...

    Text Solution

    |

  10. The distance of the point P(a, b, c) from the x-axis is

    Text Solution

    |

  11. Equation of the plane perpendicular to the line (x )/(1) = (y )/...

    Text Solution

    |

  12. The line (x-2)/(3)=(y-3)/(4)=(z-4)/(5) is parallel to the plane

    Text Solution

    |

  13. A space vector makes angles 150^(@) and 60^(@) with the positive ...

    Text Solution

    |

  14. If vec(a),vec(b) and vec(c) are unit vectors such that vec(a)+vec(b)+v...

    Text Solution

    |

  15. If hat(i) , hat(j) ,hat(k) are unit vectors alng the positive dir...

    Text Solution

    |

  16. A and B are two events such that P(A)!=0, P(B//A) is

    Text Solution

    |

  17. Two dice are thrown simultaneously, the probability of obtaining a tot...

    Text Solution

    |

  18. If the events A and B are independent if P (A ) = (2)/(3) and P (...

    Text Solution

    |

  19. A box contains 100 bulbs, out of which 10 are defective. A sample of 5...

    Text Solution

    |

  20. A Class has 175 students .The following data shown the number of s...

    Text Solution

    |