Partial Derivatives



Numerical Integration

All five basic methods of numerical integration use the basic idea of splitting up the interval of integration into subintervals, calculating the area of a shape associated with each subinterval, then adding these areas back together. The only differences are in the types of shapes used.

| |shape |how obtained |formula |

| | | | |

|left endpt | | | |

| | | | |

|right endpt | | | |

| | | | |error bound |K |

| | | | | | |

|mid-point | | | | | |

| | | | | | |

|trape-zoidal | | | | | |

| | | | | | |

|Simp-son’s | | | | | |

Examples: can you identify which picture gives each type of approximate integral?

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