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# Basic Integration

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

d/dx[C] | 0 |

d/dx[kx] | k |

d/dx[kf(x)] | kf'(x) |

d/dx[f(x)+- g(x)] | f'(x)+- g'(x) |

d/dx [x^n] | nx^n-1 |

d/dx [sin x] | cos x |

d/dx [cos x] | -sin x |

d/dx [tan x] | sec^2 x |

d/dx [sec x] | sec x tan x |

d/dx [cot x] | csc^2 x |

d/dx [csc x] | -csc x cot x |

S 0dx | C |

S k dx | kx + C |

S kf (x) dx | k S f(x)dx |

S [f(x) +- g (x) dx | S f(x) dx +_ S g(x) dx |

S x^n dx | (x^n+1/ n+1) + C, n # - 1 |

S cos x dx | sin x + C |

S sin x dx | -cos x +C |

Ssec^2 x dx | tan x + C |

S sec x tan x dx | sec x + C |

S csc^2 x dx | - cot x + C |

S csc x cot x dx | -csc x + C |

Created by:
lizzy2013