# 4x^2-9

Input |
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4 x^2 – 9 |

Geometric figure |

parabola |

Alternate form |

(2 x – 3) (2 x + 3) |

Polynomial discriminant |

Delta = 144 |

Derivative |

d/dx(4 x^2 – 9) = 8 x |

Indefinite integral |

integral (-9 + 4 x^2) dx = (4 x^3)/3 – 9 x + constant |

Global minimum |

min{4 x^2 – 9} = -9 at x = 0 |

Definite integral |

integral_(-3/2)^(3/2) (-9 + 4 x^2) dx = -18 |

Definite integral area below the axis between the smallest and largest real roots |

integral_(-3/2)^(3/2) (-9 + 4 x^2) theta(9 – 4 x^2) dx = -18 |