# (x+y)^4

Input |
---|

(x + y)^4 |

Expanded form |

x^4 + 4 x^3 y + 6 x^2 y^2 + 4 x y^3 + y^4 |

Real root |

y = -x |

Root |

y = -x |

Polynomial discriminant |

Delta = 0 |

Derivative |

(d)/(dx)((x + y)^4) = 4 (x + y)^3 |

Indefinite integral |

integral (x + y)^4 dx = 1/5 (x + y)^5 + constant |

Global minima |

min{(x + y)^4} = 0 for y = -x |

Definite integral over a square of edge length 2 L |

integral_(-L)^L integral_(-L)^L (x + y)^4 dy dx = (64 L^6)/15 |