# Integral of 1 cosx

Indefinite integral |
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integral 1 cos(x) dx = sin(x) + constant |

Alternate form of the integral |

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

Series expansion of the integral at x=0 |

x – x^3/6 + x^5/120 + O(x^6) (Taylor series) |

Definite integral |

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

Definite integral mean square |

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