# B^3-a^3

Input |
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b^3 – a^3 |

Real root |

b = (-1)^(2/3) a |

Polynomial discriminant |

Delta_a = -27 b^6 |

Integer root |

a = 0, b = 0 |

Property as a function |

odd |

Derivative |

(d)/(da)(b^3 – a^3) = -3 a^2 |

Indefinite integral |

integral (-a^3 + b^3) da = a b^3 – a^4/4 + constant |

Definite integral over a disk of radius R |

integral integral_(a^2 + b^2 |

Definite integral over a square of edge length 2 L |

integral_(-L)^L integral_(-L)^L (-a^3 + b^3) db da = 0 |