Theory & method
The Trapezium Rule is a method of finding the approximate value of an integral between two limits.
The area involved is divided up into a number of parallel strips of equal width.
Each area is considered to be a trapezium(trapezoid).
If there are n vertical strips then there are n+1 vertical lines(ordinates) bounding them.
The limits of the integral are between a and b, and each vertical line has length y1 y2 y3... yn+1
Therefore in terms of the all the vertical strips, the integral is given by:
approx. integral = (strip width) x (average of first and last y-values, plus the sum of all y values between the second and second-last value)
Example #1
Example #2
