# Antiderivative sinx

Indefinite integral |
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integral sin(x) dx = -cos(x) + constant |

Alternate form of the integral |

-1/2 e^(-i x) – e^(i x)/2 + constant |

Series expansion of the integral at x=0 |

-1 + x^2/2 – x^4/24 + O(x^6) (Taylor series) |

Definite integral over a half-period |

integral_0^pi sin(x) dx = 2 |

Definite integral mean square |

integral_0^(2 pi) (sin^2(x))/(2 pi) dx = 1/2 = 0.5 |