# Ax 2 bx c

Input |
---|

(a x)×2 (b x) c |

Result |

2 a b c x^2 |

Geometric figure |

parabola |

Polynomial discriminant |

Delta = 0 |

Derivative |

(d)/(dx)((a x)×2 (b x) c) = 4 a b c x |

Indefinite integral |

integral 2 a b c x^2 dx = 2/3 a b c x^3 + constant |

Definite integral over a hypersphere of radius R |

integral integral integral integral_(a^2 + b^2 + c^2 + x^2 |

Definite integral over a hypercube of edge length 2 L |

integral_(-L)^L integral_(-L)^L integral_(-L)^L integral_(-L)^L 2 a b c x^2 dx dc db da = 0 |