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# Jordan Math

### Integrals and Derivative formula's

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

Derivative of Sinx | Cosx |

Derivative of Tanx | (secx)^2 |

Derivative of Secx | SecxTanx |

Derivative of Cosx | -Sinx |

Derivative of Cotx | -(Cscx)^2 |

Derivative of Cscx | -(CscxCotx) |

Integral of A^u | (1/ln(A))A^u |

Integral of Tanu | -ln|cosu| |

Integral of Cotu | ln|sinu| |

Integral of Secu | ln|Secu+Tanu| |

Integral of Cscu | -ln|Cscu+Cotu| |

Integral of (1/sqr[A^2-u^2]) | Arcsin (u/a) |

Integral of (1/[A^2+u^2]) | (1/A)Arctan(u/A) |

Integral of (1/[u*sqr[u^2-A^2]]) | (1/A)Arcsec(|u|/A) |

When doing the integral X^(n)e^(ax) what should your dv and u be? | u=X^(n) dv=e^(ax) |

When doing the integral X^(n)Sin(ax) what should your dv and u be? | u=X^(n) dv=Sin(ax) |

When doing the integral X^(n)Cos(ax) what should your dv and u be? | u=X^(n) dv=Cos(ax) |

When doing the integral X^(n)ln(x) what should your dv and u be? | dv=X^(n) u=ln(x) |

When doing the integral X^(n)arcsin(ax) what should your dv and u be? | dv=X^(n) u=arcsin(ax) |

When doing the integral X^(n)arctan(ax) what should your dv and u be? | dv=X^(n) u=arctan(ax) |

When doing the integral e^(ax)Sin(bx) what should your dv and u be? | u=Sin(bx) dv=e^(ax) |

Derivative of Arcsin(u) | (u'/sqr[1-u^2]) |

Derivative of Arccos(u) | (-u'/sqr[1-u^2]) |

Derivative of Arctan(u) | (u'/1+u^2) |

Derivative of Arcsec(u) | (u'/|u|sqr[u^2-1]) |

Created by:
pigfat