Home
Class 12
MATHS
Find the integral of 1/(sqrt(x^(2)-a^(2)...

Find the integral of `1/(sqrt(x^(2)-a^(2)))` with respect to x and evaluate `int1/(sqrt(x^(2)+6x-7))`

Text Solution

Verified by Experts

The correct Answer is:
`log|x+1+sqrt((x+1)^(2)+1)|+C`
Promotional Banner

Topper's Solved these Questions

  • P.U BOARD LATEST MODEL QUESTION PAPER - 3

    SUNSTAR PUBLICATION|Exercise PART-E|3 Videos

  • P.U BOARD LATEST MODEL QUESTION PAPER - 3

    SUNSTAR PUBLICATION|Exercise PART-B|14 Videos

  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

  • SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2016

    SUNSTAR PUBLICATION|Exercise PART - E|2 Videos

Similar Questions

Explore conceptually related problems

Find the integral of (1)/(sqrt(x^(2)-a^(2))) with respect to x and hence evaluate int(dx)/(sqrt(x^(2)+6x-7)) .

Find the integral of 1/sqrt(x^(2)-a^(2)) with respect to x and hence evaluate int1/sqrt(4x^(2)-25)dx .

Find the integral of (1)/(sqrt(x^(2)+a^(2))) with respect to x and hence evaluate int(1)/(sqrt(x^(2)+7))dx

Find the integral of sqrt(x^(2)-a^(2) with respect to x.

Find the integral of 1/sqrt(x^2-a^2) with respect to x and hence evalute int1/sqrt(x^2-2x)dx

Find the integral of sqrt(x^(2) + a^(2)) with respect to x and evaluate int sqrt(4x^(2) + 9) dx .

Find the integral of sqrt(x^(2)-a^(2)) with respect to x and hence evaluate intsqrt(x^(2)-8x+7d)x .

Find the integral of 1/ sqrt(x^(2)- a^(2)) with respect to x and hence evalute int (dx)/sqrt(x^(2)+ 6x - 7) .

Find the integral of sqrt(a^(2)+x^(2)) with respect to x and hence evaluate intsqrt(1+x^(2))dx

SUNSTAR PUBLICATION-P.U BOARD LATEST MODEL QUESTION PAPER - 3 -PART-C
  1. If x=a(costheta+logtan(theta/2)) and y=a sin theta," show that "(dy)/(...

    Text Solution

    |

  2. At what points, the function f(x)=sinx-cosx,0ltxlt2pi, attains local m...

    Text Solution

    |

  3. Evaluate int" e"^(x)sinx dx

    Text Solution

    |

  4. Find int(sinx)/(sin(x-a))dx

    Text Solution

    |

  5. Find the area of the region enclosed by the circle x^(2)+y^(2)=a^(2) b...

    Text Solution

    |

  6. Solve (2dy)/(dx)=(y)/(x)+(y^(2))/(x^(2)))

    Text Solution

    |

  7. Show that the points A(2hati-hatj+hatk),B(hati-3hatj-5hatk) and C(3hat...

    Text Solution

    |

  8. Three vectors satisfy the condition veca,vecb and vecc satisfy the con...

    Text Solution

    |

  9. Find the equation of the plane through the line of intersection of the...

    Text Solution

    |

  10. A random variable x has the following probability distribution. D...

    Text Solution

    |

  11. If f:RrarrR defined by f(x)=(4x+3), show that f is invertible and find...

    Text Solution

    |

  12. If A=[(-1,2),(2,3)],B=[(1,-3),(-3,4)] verify that AB-BA is a skew symm...

    Text Solution

    |

  13. If A=[(2,-3,5),(3,2,-4),(1,1,-2)], find A^(-1). Using A^(-1) solve th...

    Text Solution

    |

  14. If y=e^(a cos^(-1)x),-2lexle1, show that (1-x^(2))(d^(2)y)/(dx^(2))-xd...

    Text Solution

    |

  15. Sand is pouring from a pipe at the rate of 12cm^(3)//sec. The falling ...

    Text Solution

    |

  16. Find the integral of 1/(sqrt(x^(2)-a^(2))) with respect to x and evalu...

    Text Solution

    |

  17. Find the area bounded by the curve x^(2)=4y and the line x=4y-2.

    Text Solution

    |

  18. Derive the equation of a plane in normal form both in the vector and C...

    Text Solution

    |

  19. Solve dy/dx+(2xy)/(1+x^(2))=(4x^(2))/(1+x^(2))

    Text Solution

    |

  20. The probability that a bulb produced by a factory will fuse after 150 ...

    Text Solution

    |