Search All »
Math
»
Elementary Integrals

Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# 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