1.1. Integration module

Integration.simpson13(f, limits, ns)

This function calculates the area under a given curve between the given list of limit points using Simpson 1/3 method

Parameters

• f (function) – function whose area is to be calculated

• limits (tuple) – a tuple of limit points

• ns (iterable) – list of number of sub

Returns

• Intergral (List) – List of area calculated using corresponding values of ns

• hs (List) – List of h for corresponding values of ns

Integration.simpson38(f, limits, ns)

This function calculates the area under a given curve between the given list of limit points using Simpson 3/8 method

Parameters

• f (function) – function whose area is to be calculated

• limits (tuple) – a tuple of limit points

• ns (iterable) – list of number of sub

Returns

• Intergral (List) – List of area calculated using corresponding values of ns

• hs (List) – List of h for corresponding values of ns

Integration.trapizoidal(f, limits, ns)

This function calculates the area under a given curve between the given list of limit points using Trapezoidal method

Parameters

• f (function) – function whose area is to be calculated

• limits (tuple) – a tuple of limit points

• ns (iterable) – list of number of sub

Returns

• Intergral (List) – List of area calculated using corresponding values of ns

• hs (List) – List of h for corresponding values of ns