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# cats and boots

### Calculus 2 study flash cards

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

∫cos(x)dx | sin(x)+c |

∫sin(x)dx | -cos(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 |

∫dx/√a^2 - x^2 | sin inverse of u/a + c |

∫dx/a^2 + x^2 | 1/a tan inverse of u/a + c |

∫dx/x√x^2 - a^2 | 1/a sec inverse of u/a + c |

∫tan(x)dx | ln|secx|+c |

∫cot(x)dx | ln|sinx|+c |

∫sec(x)dx | ln|secx+tanx|+c |

∫csc(x)dx | ln|cscx-cotx|+c |

alternate sec^2(x) | tan^2(x) + 1 |

alternate tan^2(x) | sec^2(x) - 1 |

relevant identity of sin^2(x) | 1/2(1-cos(2x)) |

relevant identity of cos^2(x) | 1/2(1+cos(2x)) |

Integration by parts formula? | ∫u*dv = u*v-∫v*du |

if √a^2 - x^2 then... | asin(ø) |

if √a^2 + x^2 then... | atan(ø) |

if √x^2 - a^2 then... | asec(ø) |

∫1/x^2 | -1/x |

∫1/x | ln|x| |

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