#define a function to do integration of f(x) btw. Of course we have to estimate the number of trapeziums to use the accuracy of our method depends on this number. We shall write a small program to evaluate the integral. The area of each trapezium is calculated as width times the average height. The simple trapezium formula calculates the integral of a function f(x) as the area under the curve representing f(x) by approximating it with the sum of trapeziums: The trapezium (trapezoidal) method is the most straightforward of the three. Scipy uses three methods to integrate a one-dimensional function: trapezoidal ( apz), Simpson ( integrate.simps) and Romberg ( integrate.romb).
The package scipy.integrate can do integration in quadrature and can solve differential equations 1.
You will learn how to develop you own numerical integration method and how to get a specified accuracy. In this section we show how Scientific Python can help through its high level mathematical algorithms. You will probably encounter many situations in which analytical integration of a function or a differential equation is difficult or impossible.
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