Home
Class 12
MATHS
Evaluate the following integrals : int(x...

Evaluate the following integrals : `int(x^(2))/(1+x^(3))dx`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION IV MOST IMPORTANT QUESTIONS FOR PRACTICE)|23 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION V MOST IMPORTANT QUESTIONS FOR PRACTICE)|33 Videos

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION II MOST IMPORTANT QUESTIONS FOR PRACTICE)|28 Videos

  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integrals : int(dx)/(x^3)

Evaluate the following integrals: int(x^2)/(x^2-1)dx

Evaluate the following integrals : int(1)/(x)dx

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

Evaluate the following integrals: int(2x)/(x^3-1)dx

BETTER CHOICE PUBLICATION-INTEGRALS-ASSIGNMENT (SECTION III MOST IMPORTANT QUESTIONS FOR PRACTICE)
  1. Evaluate the following integrals : int(x^(2))/(1+x^(3))dx

    Text Solution

    |

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

    Text Solution

    |

  3. Integrate the function: (e^(2x) - e^(-2x))/(e^(2x) + e^(-2x))

    Text Solution

    |

  4. Evaluate the following integrals : int(1-cot x)/(1+cotx)dx

    Text Solution

    |

  5. Evaluate the following integrals : int(2 cos x-3sinx)/(6cosx+4sinx)

    Text Solution

    |

  6. Evaluate the following integrals : int((x+cos6x)/(3x^(2)+sin6x))dx

    Text Solution

    |

  7. Evaluate the following integrals : int1/(1-cotx) dx

    Text Solution

    |

  8. Evaluate the following integrals : int (e^(2x)+1)/(e^(2x)-1)dx

    Text Solution

    |

  9. Evaluate the following integrals : int (x^(e-1)+e^(x-1))/(x^(e)+e^(x))...

    Text Solution

    |

  10. Evaluate the following integrals : int (1-e^(x))/(1+e^(x))dx

    Text Solution

    |

  11. Evaluate the following integrals : int xsqrt(x^(2)-1)dx

    Text Solution

    |

  12. Evaluate the following integrals : int xsqrt(1+2x^(2))dx

    Text Solution

    |

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

    Text Solution

    |

  14. Evaluate the following integrals : int (cosx-sinx)/(1+sin2x)

    Text Solution

    |

  15. Evaluate the following integrals : int (e^(tan^(-1)x))/(1+x^(2))dx

    Text Solution

    |

  16. Evaluate the following integrals : int 1/(cos^(2)x(1-tanx)^(2))dx

    Text Solution

    |

  17. Evaluate the following integrals : int ((logx)^(2))/x dx

    Text Solution

    |

  18. Evaluate the following integrals : int ((x+1)(x+logx)^(2))/x dx

    Text Solution

    |

  19. Evaluate the following integrals : int x^(3)sin(x^(4))dx

    Text Solution

    |

  20. Evaluate the following integrals : int e^(x)cosec^(2)(e^(x))dx

    Text Solution

    |