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# Elementary Integrals

### Basic calculus integrals

Question | Answer |
---|---|

∫(1/x)dx | ln|x|+C |

∫(e^x)dx | e^x+C |

∫(a^x)dx | (a^x)/(lna)+C |

∫sin(x)dx | -cos(x)+C |

∫cos(x)dx | sin(x)+C |

∫sec^2(x)dx | tan(x)+C |

∫csc^2(x)dx | -cot(x)+C |

∫sec(x)tan(x)dx | sec(x)+C |

∫csc(x)cot(x)dx | -csc(x)+C |

∫tan(x)dx | ln|sec(x)|+C |

∫cot(x)dx | ln|sin(x)|+C |

∫sec(x)dx | ln|sec(x)+tan(x)|+C |

∫csc(x)dx | ln|csc(x)-cot(x)|+C |

∫(1/sqrt(a^2-x^2))dx | sin^-1(x/a)+C |

∫(1/(a^2+x^2))dx | (1/a)tan^-1(x/a)+C |

∫(1/(a^2-x^2))dx | (1/2a)ln|(x+a)/(x-a)|+C |

∫(1/x(sqrt(x^2-a^2))dx | (1/a)sec^-1|x/a|+C |

Created by:
Paulerbear