Home
Class 12
MATHS
If I(1) = int sin^(-1) x dx and I(2) = i...

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

A

`I_(1) = I_(2)`

B

`I_(2) = pi/2 I_(1)`

C

`I_(1)+I_(2) = pi/2x`

D

`I_(1)+I_(2) = pi/2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

Similar Questions

Explore conceptually related problems

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

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

int sqrt(1 + 4x^(2)) dx .

int sin^(-1)(3x-4x^(3)) dx =

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

int 1/((x+1) sqrt(x+2)) dx =

If I_(1) = int_e^(e^(2)) (dx)/(log x) and I_(2) = int_1^(2) (e^(x)dx)/(x) then

int dx/(sqrt(1-9x^(2)))=

int dx/((x-1)sqrt(x^(2)-1)) =

HIMALAYA PUBLICATION-INDEFINITE INTEGRAL-QUESTION BANK
  1. int dx/(x-x^(3)) = A (log) x^(2)/(1-x^(2)), then A =

    Text Solution

    |

  2. int (sin 2x +cos 2x) dx = 1/sqrt2 sin (2x-a) then a =

    Text Solution

    |

  3. If I(1) = int sin^(-1) x dx and I(2) = int sin^(-1) sqrt(1-x^(2))dx th...

    Text Solution

    |

  4. int d^(2)/(dx^(2))(tan^(-1) x) dx =

    Text Solution

    |

  5. If f(x) = int (x^(2)+sin^(2)x)/(1+x^(2)) sec^(2)x dx and f(0) = 0, the...

    Text Solution

    |

  6. In n (ne 1) in N and I(n) = intcosec^(n) dx then (n-1)((n)+cosec^(n-2)...

    Text Solution

    |

  7. If n(ne 1) in N and I(n) =int sec^(n)x dx then (n-1) I(n)-(n-2)I(n-2) ...

    Text Solution

    |

  8. If n in N and I(n) = intsin^(n) x dx then nI(n)-(n-1)I(n-2) =

    Text Solution

    |

  9. If n in N and I(n) = intcos^(n) xdx then nI(n) - cos^(n-1)x. sinx =

    Text Solution

    |

  10. If n(ne 1) in N and I(n) = int tan^(n) x dx then I(n)+I(n-2) =

    Text Solution

    |

  11. If n(ne 1) in N and I(n) = intcot^(n) x dx then I(n) + (cot^(n-1)x)/(n...

    Text Solution

    |

  12. If n(ne 1) in N and I(n) = int e^(x)/x^(n) dx then I(n)+ e^(x)/((n-1)x...

    Text Solution

    |

  13. If n in N and I(n) = int(log x)^(n) dx, then I(n)+nI(n-1) =

    Text Solution

    |

  14. If I(n) = int x^(n)e^(x) dx where n inN, then I(n) + nI(n-1) =

    Text Solution

    |

  15. int (tan^(m)x)/(sinx cosx)dx =

    Text Solution

    |

  16. int dx/(sqrt(2x^(2)+7x+3)) =

    Text Solution

    |

  17. int dx/(sqrt(2x^(2)+3x+4)) =

    Text Solution

    |

  18. int dx/(sqrt(2x^(2)+3x+4)) =

    Text Solution

    |

  19. int (sqrt(tan x) + sqrt(cot x)) dx is equal to

    Text Solution

    |

  20. int (cos theta - sin theta)/(sqrt(sin 2 theta) ) d theta=

    Text Solution

    |