# 2sec^2x

Input |
---|

2 sec^2(x) |

Alternate form assuming x is real |

(8 cos^2(x))/(cos(2 x) + 1)^2 |

Roots |

(no roots exist) |

Series expansion at x=0 |

2 + 2 x^2 + (4 x^4)/3 + O(x^5) (Taylor series) |

Derivative |

d/dx(2 sec^2(x)) = 4 tan(x) sec^2(x) |

Indefinite integral |

integral 2 sec^2(x) dx = 2 tan(x) + constant |