# Cx zx

Input |
---|

c x (z x) |

Result |

c x^2 z |

Polynomial discriminant |

Delta = 0 |

Property as a function |

odd |

Derivative |

(d)/(dx)(c x (z x)) = 2 c x z |

Indefinite integral |

integral c x^2 z dx = 1/3 c x^3 z + constant |

Definite integral over a sphere of radius R |

integral integral integral_(c^2 + x^2 + z^2 |

Definite integral over a cube of edge length 2 L |

integral_(-L)^L integral_(-L)^L integral_(-L)^L c x^2 z dz dx dc = 0 |