Hey all, i asked a question on this the other day, just wanted to check my answer & it might be useful to someone else as a worked example

Evaluate the area correct to 4 significant figures, using trapezoidal,mid-ordinate&simpsons rule each using 4 intervals

These are the 4 ordinates with 4 mid-ordinates inbetween

Trapezoidal Rule:

Mid-Ordinate:

Simpsons:

The theoretical value by integration: