Home
Class 12
MATHS
Find : int0^(1/(sqrt(2)))(sin^(-1)x)/(...

Find : `int_0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)^(3/2))dx`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int_0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)sqrt(1-x^2))dx

Evaluate: int_0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)sqrt(1-x^2))dx

Evaluate: int_(0)^(1//2) (sin^(-1)x)/((1-x^(2))^(3//2)) dx

int_(0)^(1//2) (x sin^(-1)x)/(sqrt(1-x^(2)))dx=?

int_((x sin^(-1)x)/(sqrt(1-x)^(2)))dx

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

int_0^(1/2) e^(sin^-1x)/sqrt(1-x^2)dx

Evaluate: int_0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx

Evaluate: int_0^1(x t a n^(-1)x)/((1+x^2)^(3//2))dx

Evaluate the following integral: int_0^(1//sqrt(3))tan^(-1)((3x-x^3)/(1-3x^2))dx

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Solve for x :tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x ,x >0

    Text Solution

    |

  2. Prove that 2tan^(-1)(1/2)+tan^(-1)(1/7)=sin^(-1)((31)/(25sqrt(2)))

    Text Solution

    |

  3. Find : int0^(1/(sqrt(2)))(sin^(-1)x)/((1-x^2)^(3/2))dx

    Text Solution

    |

  4. Find : intx/((x^2+1)(x-1))dx

    Text Solution

    |

  5. Find the areas of the region {(x , y): y^2lt=4x ,4x^2+4y^2lt=9}, using...

    Text Solution

    |

  6. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

    Text Solution

    |

  7. Find the projection of the vector vec a=2 hat i+3 hat j+2 hat k on th...

    Text Solution

    |

  8. If y=A e^(m x)+B e^(n x), show that (d^2y)/(dx^2)-(m+n)(dy)/(dx)+m n y...

    Text Solution

    |

  9. Find : int(x+3)/(sqrt(5-4x+x^2))dx

    Text Solution

    |

  10. Find the shortest distance between the following lines: vec r=2 hat i...

    Text Solution

    |

  11. For what value of lambda the function defined by f(x)={lambda(x^2+2),i...

    Text Solution

    |

  12. If x=a e^t(sint+cost) and y=a e^t(sint-cost), prove that (dy)/(dx)=(x+...

    Text Solution

    |

  13. Evaluate : int0^(pi/4)log(1+tanx)dxdot

    Text Solution

    |

  14. Find : intx/((x-1)^2(x+2))dx

    Text Solution

    |

  15. A point on the hypotenuse of a right triangle is at distances a and b ...

    Text Solution

    |

  16. Evaluate: int[x+2]/[2x^2+6x+5]dx

    Text Solution

    |

  17. Write the order of the differential equation 1+((dy)/(dx))^2=7\ ((d^2y...

    Text Solution

    |

  18. Two schools A and B decided to award prizes to their students for thre...

    Text Solution

    |

  19. If A=(1 2 3-1)a n dB=(1 3-1 1), write the value of |A B| .

    Text Solution

    |

  20. Write the differential equation obtained by eliminating the arbitrary ...

    Text Solution

    |