Home
Class 12
MATHS
int(sqrt(x)dx)/(sqrt(2x+3))...

`int(sqrt(x)dx)/(sqrt(2x+3))`

Text Solution

Verified by Experts

The correct Answer is:
`1/2 sqrt(2x^(2)+3x)-(3)/(4 sqrt(2))log |x+3/4 sqrt(x^(2)+3/2 x )|+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 4|25 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 5|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

(1) int(sqrt(x))/(sqrt(2x+3))dx(2)int(arctan x)dx

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

Evaluate: int(sqrt(x))/(sqrt(x)-x^((1)/(3)))dx

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

Find:int(sqrt(x))/(sqrt(a^(3)-x^(3)))dx

Find int(sqrt(x))/(sqrt(a^(3)-x^(3)))dx

int(2)/(sqrt(x)-sqrt(x+3))dx

ARIHANT MATHS-INDEFINITE INTEGRAL -Exercise For Session 3
  1. intsqrt((x^4)/(a^6+x^6))dx

    Text Solution

    |

  2. int (1)/(4e^x+9e^(-x))dx=....

    Text Solution

    |

  3. Evaluate the following integrals int (2^(x))/(sqrt(4^(x)-25))dx

    Text Solution

    |

  4. Evaluate: int(8x-11)/sqrt(5+2x-x^(2))dx

    Text Solution

    |

  5. निम्नलिखित समाकलों के मान ज्ञात कीजिए- int (x+2)/sqrt(x^(2)+2x+3) d...

    Text Solution

    |

  6. Evaluate the following integrals int (x-3)/sqrt(3-2x-x^(2))dx

    Text Solution

    |

  7. Evaluate the following integrals int (3x-1)/(4x^(2)-4x+17)dx

    Text Solution

    |

  8. int(sqrt(x)dx)/(sqrt(2x+3))

    Text Solution

    |

  9. Evaluate the following integrals int sqrt((a-x)/(x-b))dx

    Text Solution

    |

  10. Evaluate the following integrals int sqrt((1-x)/(1+x))dx

    Text Solution

    |

  11. Evaluate the following integrals int(x^(2)+2x+3)/(sqrt(x^(2)+x+1)...

    Text Solution

    |

  12. Evaluate the following integrals int (dx)/(1+sin x+cos x)

    Text Solution

    |

  13. Evaluate: int1/(sinx+sqrt(3)cosx)\ dx

    Text Solution

    |

  14. Evaluate the following integrals int (cos^(2)x sin x)/(sin x - co...

    Text Solution

    |

  15. Evaluate : int(e^x)/(sqrt(5-4e^x-\ e^(2x)))\ dx

    Text Solution

    |

  16. Evaluate the following integrals int sqrt((cos x- cos^(3)x)/((1-c...

    Text Solution

    |

  17. Evaluate the following integrals Evaluate int (3 sin x+2 cos x)/(...

    Text Solution

    |

  18. Evaluate the following integrals Evaluate int (2x-4)sqrt(4+3x-x^(...

    Text Solution

    |

  19. int((2x^2+5x+9)dx)/((x+1)sqrt(x^2+x+1))

    Text Solution

    |

  20. int (dx)/(sec x + "cosec x")

    Text Solution

    |