# Integral cosx 2

Indefinite integral |
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integral cos(x) 2 dx = 2 sin(x) + constant |

Alternate form of the integral |

i e^(-i x) – i e^(i x) + constant |

Series expansion of the integral at x=0 |

2 x – x^3/3 + x^5/60 + O(x^6) (Taylor series) |

Definite integral |

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

Definite integral mean square |

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