Home
Class 12
MATHS
Evaluate the following integrals. in...

Evaluate the following integrals.
` int ( sqrt(x) - (1)/(sqrt(x)))^(2) dx`

Text Solution

Verified by Experts

The correct Answer is:
`(x^(2))/(2) + lnx - 2x + c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise LEVEL 2|50 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise Numerical value Type of JEE Main|15 Videos
  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos
  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos
  • INVERSE TRIGONOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals: int1/(sqrt(x))\ dx

Evaluate the following Integrals. int sqrt(tan x) dx

Evalute the following integrals int (sqrt(3x -2)) dx

Evaluate the following integrals: int sqrt(2ax-x^2dx

Evaluate the following integral : int((1+sqrt(x))^2)/(sqrt(x))\ dx

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

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

Evaluate the following integrals. int (2x -3)/(sqrt(2x-1))dx

Evaluate the following integrals: int sqrt(1+(x^(2))/(9))dx

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

VMC MODULES ENGLISH-INTEGRAL CALCULUS-1-LEVEL 1
  1. Evaluate the following integrals. int ( sqrt(x) - (1)/(sqrt(x)))^(...

    Text Solution

    |

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

    Text Solution

    |

  3. Evaluate the following integrals. int (dx)/(sqrt(ax + b))

    Text Solution

    |

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

    Text Solution

    |

  5. Evaluate the following integration int cos^(3)x dx

    Text Solution

    |

  6. Evaluate the following integrals : int(tanx+cotx)^2dx

    Text Solution

    |

  7. Evaluate the following integrals. int sin x sqrt( 1 - cos 2x)dx

    Text Solution

    |

  8. Evaluate the following integration int(e^("alog x")+e^(" x log a"...

    Text Solution

    |

  9. Evaluate int cos x cos 2x cos 5x dx

    Text Solution

    |

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

    Text Solution

    |

  11. Evaluate the following integrals. int (2x -3)/(sqrt(2x-1))dx

    Text Solution

    |

  12. Solve the following integration int (sin x+cos x)/(sqrt(1+sin 2x))*...

    Text Solution

    |

  13. Evaluate the following integrals. int sin x cos x (sin 2x + cos 2...

    Text Solution

    |

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

    Text Solution

    |

  15. Solve the following integration int (dx)/(1+sin x)

    Text Solution

    |

  16. Evaluate the following integrals. int (1)/(1-cosx)dx

    Text Solution

    |

  17. Evaluate: int1/(e^x+e^(-x))\ dx

    Text Solution

    |

  18. Evaluate the following integrals. int sin^(5)xdx

    Text Solution

    |

  19. Evaluate: int(x^3)/(sqrt(x^8+4))\ dx

    Text Solution

    |

  20. int \ (2xtan^(- 1)x^2)/(1+x^4)dx

    Text Solution

    |