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ACTIVITY 1

THE TRAPEZOIDAL RULE

Consider the graph below.

trapezium rule diagram#1

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

trapezium rule theory#2

Therefore in terms of the all the vertical strips, the integral is given by:

trapezium theory

 

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)

State the values of y for the graph y = x2  from 3 to 8.