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# integration formulas

### integrals

the indefinite integral of | equals |
---|---|

a dx | ax + C |

x^n dx | (1/(n+1)) x^ (n+1) + C |

1/x dx | ln IxI + C |

e^x dx | e^x + C |

a^ X dx | (a^x)/(lna) + C |

lnx dx | xlnx -x + C |

sinx dx | -cosx +c |

cos x dx | sinx + C |

tan x dx | ln IsecxI +C or -ln IcosxI + C |

cot x dx | ln IsinxI + C |

sec x dx | ln Isecx + tanxI +C |

csc x dx | ln Icscx- cotxI +C |

sec^2x dx | tanx +C |

secx tanx dx | secx + C |

csc^2X dx | -cotX +C |

cscx cotx dx | -cscx + C |

tan^2x dx | tanx -x +C |

dx/[a^2 + x^2] | 1/a Arctan(x/a) +C |

dx/[sqroot(a^2-x^2)] | 1/a Arcsin (x/a) + C |